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Finding the Fourth Proportional to 663.58, 915.77 and 414.71

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Solution

The fourth proportional to 663.58, 915.77 and 414.71 is: 572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.58 : 915.77 = 414.71 : x
  2. Step 2: Convert to fraction form
    663.58/915.77 = 414.71/x
  3. Step 3: Cross multiply
    663.58x = 915.77 × 414.71
  4. Step 4: Simplify right side
    663.58x = 379,778.98
  5. Step 5: Solve for x
    x = 379,778.98/663.58
  6. Step 6: Final answer
    x = 572.32

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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.