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Finding the Fourth Proportional to 537.20, 741.32 and 316.16

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Solution

The fourth proportional to 537.20, 741.32 and 316.16 is: 436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.20 : 741.32 = 316.16 : x
  2. Step 2: Convert to fraction form
    537.20/741.32 = 316.16/x
  3. Step 3: Cross multiply
    537.20x = 741.32 × 316.16
  4. Step 4: Simplify right side
    537.20x = 234,370.44
  5. Step 5: Solve for x
    x = 234,370.44/537.20
  6. Step 6: Final answer
    x = 436.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.