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Finding the Fourth Proportional to 663.46, 915.64 and 477.23

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Solution

The fourth proportional to 663.46, 915.64 and 477.23 is: 658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.46 : 915.64 = 477.23 : x
  2. Step 2: Convert to fraction form
    663.46/915.64 = 477.23/x
  3. Step 3: Cross multiply
    663.46x = 915.64 × 477.23
  4. Step 4: Simplify right side
    663.46x = 436,965.11
  5. Step 5: Solve for x
    x = 436,965.11/663.46
  6. Step 6: Final answer
    x = 658.62

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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.