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Finding the Fourth Proportional to 617.62, 925.82 and 343.84

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Solution

The fourth proportional to 617.62, 925.82 and 343.84 is: 515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.62 : 925.82 = 343.84 : x
  2. Step 2: Convert to fraction form
    617.62/925.82 = 343.84/x
  3. Step 3: Cross multiply
    617.62x = 925.82 × 343.84
  4. Step 4: Simplify right side
    617.62x = 318,333.95
  5. Step 5: Solve for x
    x = 318,333.95/617.62
  6. Step 6: Final answer
    x = 515.42

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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.