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Finding the Fourth Proportional to 522.18, 721.17 and 478.44

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Solution

The fourth proportional to 522.18, 721.17 and 478.44 is: 660.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.18 : 721.17 = 478.44 : x
  2. Step 2: Convert to fraction form
    522.18/721.17 = 478.44/x
  3. Step 3: Cross multiply
    522.18x = 721.17 × 478.44
  4. Step 4: Simplify right side
    522.18x = 345,036.57
  5. Step 5: Solve for x
    x = 345,036.57/522.18
  6. Step 6: Final answer
    x = 660.76

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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.