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Finding the Fourth Proportional to 663.50, 915.90 and 477.02

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Solution

The fourth proportional to 663.50, 915.90 and 477.02 is: 658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.50 : 915.90 = 477.02 : x
  2. Step 2: Convert to fraction form
    663.50/915.90 = 477.02/x
  3. Step 3: Cross multiply
    663.50x = 915.90 × 477.02
  4. Step 4: Simplify right side
    663.50x = 436,902.62
  5. Step 5: Solve for x
    x = 436,902.62/663.50
  6. Step 6: Final answer
    x = 658.48

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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.