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Finding the Fourth Proportional to 617.10, 925.65 and 422.70

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Solution

The fourth proportional to 617.10, 925.65 and 422.70 is: 634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 925.65 = 422.70 : x
  2. Step 2: Convert to fraction form
    617.10/925.65 = 422.70/x
  3. Step 3: Cross multiply
    617.10x = 925.65 × 422.70
  4. Step 4: Simplify right side
    617.10x = 391,272.26
  5. Step 5: Solve for x
    x = 391,272.26/617.10
  6. Step 6: Final answer
    x = 634.05

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