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Finding the Fourth Proportional to 501, 752.42 and 318.43

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Solution

The fourth proportional to 501, 752.42 and 318.43 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501 : 752.42 = 318.43 : x
  2. Step 2: Convert to fraction form
    501/752.42 = 318.43/x
  3. Step 3: Cross multiply
    501x = 752.42 × 318.43
  4. Step 4: Simplify right side
    501x = 239,593.10
  5. Step 5: Solve for x
    x = 239,593.10/501
  6. Step 6: Final answer
    x = 478.23

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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.