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Finding the Fourth Proportional to 542.57, 815.27 and 507.02

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Solution

The fourth proportional to 542.57, 815.27 and 507.02 is: 761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.57 : 815.27 = 507.02 : x
  2. Step 2: Convert to fraction form
    542.57/815.27 = 507.02/x
  3. Step 3: Cross multiply
    542.57x = 815.27 × 507.02
  4. Step 4: Simplify right side
    542.57x = 413,351.58
  5. Step 5: Solve for x
    x = 413,351.58/542.57
  6. Step 6: Final answer
    x = 761.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.