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Finding the Fourth Proportional to 663.27, 915.65 and 414.73

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Solution

The fourth proportional to 663.27, 915.65 and 414.73 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.27 : 915.65 = 414.73 : x
  2. Step 2: Convert to fraction form
    663.27/915.65 = 414.73/x
  3. Step 3: Cross multiply
    663.27x = 915.65 × 414.73
  4. Step 4: Simplify right side
    663.27x = 379,747.52
  5. Step 5: Solve for x
    x = 379,747.52/663.27
  6. Step 6: Final answer
    x = 572.54

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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.