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Finding the Fourth Proportional to 522.60, 717.96 and 424.08

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Solution

The fourth proportional to 522.60, 717.96 and 424.08 is: 582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 717.96 = 424.08 : x
  2. Step 2: Convert to fraction form
    522.60/717.96 = 424.08/x
  3. Step 3: Cross multiply
    522.60x = 717.96 × 424.08
  4. Step 4: Simplify right side
    522.60x = 304,472.48
  5. Step 5: Solve for x
    x = 304,472.48/522.60
  6. Step 6: Final answer
    x = 582.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.