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Finding the Fourth Proportional to 521.92, 720.23 and 285.86

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Solution

The fourth proportional to 521.92, 720.23 and 285.86 is: 394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 720.23 = 285.86 : x
  2. Step 2: Convert to fraction form
    521.92/720.23 = 285.86/x
  3. Step 3: Cross multiply
    521.92x = 720.23 × 285.86
  4. Step 4: Simplify right side
    521.92x = 205,884.95
  5. Step 5: Solve for x
    x = 205,884.95/521.92
  6. Step 6: Final answer
    x = 394.48

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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.