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Finding the Fourth Proportional to 617.30, 925.97 and 270.46

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Solution

The fourth proportional to 617.30, 925.97 and 270.46 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.30 : 925.97 = 270.46 : x
  2. Step 2: Convert to fraction form
    617.30/925.97 = 270.46/x
  3. Step 3: Cross multiply
    617.30x = 925.97 × 270.46
  4. Step 4: Simplify right side
    617.30x = 250,439.68
  5. Step 5: Solve for x
    x = 250,439.68/617.30
  6. Step 6: Final answer
    x = 405.70

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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.