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Finding the Fourth Proportional to 540.72, 746.32 and 331.04

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Solution

The fourth proportional to 540.72, 746.32 and 331.04 is: 456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 746.32 = 331.04 : x
  2. Step 2: Convert to fraction form
    540.72/746.32 = 331.04/x
  3. Step 3: Cross multiply
    540.72x = 746.32 × 331.04
  4. Step 4: Simplify right side
    540.72x = 247,061.77
  5. Step 5: Solve for x
    x = 247,061.77/540.72
  6. Step 6: Final answer
    x = 456.91

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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.