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Finding the Fourth Proportional to 617.52, 925.47 and 343.47

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Solution

The fourth proportional to 617.52, 925.47 and 343.47 is: 514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.52 : 925.47 = 343.47 : x
  2. Step 2: Convert to fraction form
    617.52/925.47 = 343.47/x
  3. Step 3: Cross multiply
    617.52x = 925.47 × 343.47
  4. Step 4: Simplify right side
    617.52x = 317,871.18
  5. Step 5: Solve for x
    x = 317,871.18/617.52
  6. Step 6: Final answer
    x = 514.75

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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.