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Finding the Fourth Proportional to 592.74, 817.56 and 406.24

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Solution

The fourth proportional to 592.74, 817.56 and 406.24 is: 560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.74 : 817.56 = 406.24 : x
  2. Step 2: Convert to fraction form
    592.74/817.56 = 406.24/x
  3. Step 3: Cross multiply
    592.74x = 817.56 × 406.24
  4. Step 4: Simplify right side
    592.74x = 332,123.53
  5. Step 5: Solve for x
    x = 332,123.53/592.74
  6. Step 6: Final answer
    x = 560.32

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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.