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Finding the Fourth Proportional to 521.97, 720.32 and 285.91

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Solution

The fourth proportional to 521.97, 720.32 and 285.91 is: 394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.97 : 720.32 = 285.91 : x
  2. Step 2: Convert to fraction form
    521.97/720.32 = 285.91/x
  3. Step 3: Cross multiply
    521.97x = 720.32 × 285.91
  4. Step 4: Simplify right side
    521.97x = 205,944.53
  5. Step 5: Solve for x
    x = 205,944.53/521.97
  6. Step 6: Final answer
    x = 394.56

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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.