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Finding the Fourth Proportional to 562.87, 773.50 and 537.15

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Solution

The fourth proportional to 562.87, 773.50 and 537.15 is: 738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.87 : 773.50 = 537.15 : x
  2. Step 2: Convert to fraction form
    562.87/773.50 = 537.15/x
  3. Step 3: Cross multiply
    562.87x = 773.50 × 537.15
  4. Step 4: Simplify right side
    562.87x = 415,485.53
  5. Step 5: Solve for x
    x = 415,485.53/562.87
  6. Step 6: Final answer
    x = 738.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.