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Finding the Fourth Proportional to 522.92, 721.61 and 286.86

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Solution

The fourth proportional to 522.92, 721.61 and 286.86 is: 395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.92 : 721.61 = 286.86 : x
  2. Step 2: Convert to fraction form
    522.92/721.61 = 286.86/x
  3. Step 3: Cross multiply
    522.92x = 721.61 × 286.86
  4. Step 4: Simplify right side
    522.92x = 207,001.04
  5. Step 5: Solve for x
    x = 207,001.04/522.92
  6. Step 6: Final answer
    x = 395.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.