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Finding the Fourth Proportional to 503.92, 752.24 and 467.87

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Solution

The fourth proportional to 503.92, 752.24 and 467.87 is: 698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 752.24 = 467.87 : x
  2. Step 2: Convert to fraction form
    503.92/752.24 = 467.87/x
  3. Step 3: Cross multiply
    503.92x = 752.24 × 467.87
  4. Step 4: Simplify right side
    503.92x = 351,948.19
  5. Step 5: Solve for x
    x = 351,948.19/503.92
  6. Step 6: Final answer
    x = 698.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.