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Finding the Fourth Proportional to 522.65, 721.17 and 301.55

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Solution

The fourth proportional to 522.65, 721.17 and 301.55 is: 416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.65 : 721.17 = 301.55 : x
  2. Step 2: Convert to fraction form
    522.65/721.17 = 301.55/x
  3. Step 3: Cross multiply
    522.65x = 721.17 × 301.55
  4. Step 4: Simplify right side
    522.65x = 217,470.73
  5. Step 5: Solve for x
    x = 217,470.73/522.65
  6. Step 6: Final answer
    x = 416.10

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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.