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Finding the Fourth Proportional to 617.22, 925.02 and 461.70

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Solution

The fourth proportional to 617.22, 925.02 and 461.70 is: 691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.22 : 925.02 = 461.70 : x
  2. Step 2: Convert to fraction form
    617.22/925.02 = 461.70/x
  3. Step 3: Cross multiply
    617.22x = 925.02 × 461.70
  4. Step 4: Simplify right side
    617.22x = 427,081.73
  5. Step 5: Solve for x
    x = 427,081.73/617.22
  6. Step 6: Final answer
    x = 691.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.