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Finding the Fourth Proportional to 662.67, 915.17 and 496.62

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Solution

The fourth proportional to 662.67, 915.17 and 496.62 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.67 : 915.17 = 496.62 : x
  2. Step 2: Convert to fraction form
    662.67/915.17 = 496.62/x
  3. Step 3: Cross multiply
    662.67x = 915.17 × 496.62
  4. Step 4: Simplify right side
    662.67x = 454,489.24
  5. Step 5: Solve for x
    x = 454,489.24/662.67
  6. Step 6: Final answer
    x = 685.85

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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.