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Default Multiple Criteria

This is on Sheet1 (database of prices):

A B C D E
F

5 Type I Type II
Type III
6 Plate 1/4" Standard .35 .40 .25
7 Plate 1/4" Cut 1.40 1.40
1.40
8 Flat 1/4" Standard .99 .75
..39
9 Square 1/4" Standard .55 .50 .45
10 Round 1/4" Standard 1.30 2.00 1.75

On the second page, I have four different drop down boxes in which they need
to choose 1) Cell H56: Type (I,II, or III), 2) Cell H57: Structure (plate,
flat, square, round), 3) Cell H58: Size (1/4", 1/2", etc.), and 4.) Cell H59:
Standard or Cut

Based on what they choose for the four above, I want to write a formula to
choose the price related to those selections. I have tried multiple formulae;
however, I can't seem to get it.

Below is the closest:

INDEX(Sheet1!A5:R56,((AND(MATCH(H57,Sheet1!A5:A57, 0),MATCH(H58,Sheet1!B5:B57,0)))),(MATCH(H56,Sheet1 !D5:R5,0)+3))

The "3" at the end is to move the column over 3 cells since my data range
(i.e. Type I) starts in Column D, not Column A.

The result of this formula is "Type I" (i.e. Row 5) not .35 (Row 6) (based
on: Type I, Plate, 1/4", Standard selections in the drop down boxes)

If I am way off base, I am open to other ideas/functions.

Thank you VERY MUCH for any assistance!
 
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