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Finding the Fourth Proportional to 542.87, 749.16 and 294.20

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Solution

The fourth proportional to 542.87, 749.16 and 294.20 is: 405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.87 : 749.16 = 294.20 : x
  2. Step 2: Convert to fraction form
    542.87/749.16 = 294.20/x
  3. Step 3: Cross multiply
    542.87x = 749.16 × 294.20
  4. Step 4: Simplify right side
    542.87x = 220,399.13
  5. Step 5: Solve for x
    x = 220,399.13/542.87
  6. Step 6: Final answer
    x = 405.99

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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.