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Finding the Fourth Proportional to 617.30, 925.35 and 308.69

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Solution

The fourth proportional to 617.30, 925.35 and 308.69 is: 462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.30 : 925.35 = 308.69 : x
  2. Step 2: Convert to fraction form
    617.30/925.35 = 308.69/x
  3. Step 3: Cross multiply
    617.30x = 925.35 × 308.69
  4. Step 4: Simplify right side
    617.30x = 285,644.75
  5. Step 5: Solve for x
    x = 285,644.75/617.30
  6. Step 6: Final answer
    x = 462.73

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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.