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Finding the Fourth Proportional to 617.46, 925.26 and 343.62

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Solution

The fourth proportional to 617.46, 925.26 and 343.62 is: 514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 925.26 = 343.62 : x
  2. Step 2: Convert to fraction form
    617.46/925.26 = 343.62/x
  3. Step 3: Cross multiply
    617.46x = 925.26 × 343.62
  4. Step 4: Simplify right side
    617.46x = 317,937.84
  5. Step 5: Solve for x
    x = 317,937.84/617.46
  6. Step 6: Final answer
    x = 514.91

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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.