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Finding the Fourth Proportional to 617.60, 926.17 and 252.19

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Solution

The fourth proportional to 617.60, 926.17 and 252.19 is: 378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 926.17 = 252.19 : x
  2. Step 2: Convert to fraction form
    617.60/926.17 = 252.19/x
  3. Step 3: Cross multiply
    617.60x = 926.17 × 252.19
  4. Step 4: Simplify right side
    617.60x = 233,567.87
  5. Step 5: Solve for x
    x = 233,567.87/617.60
  6. Step 6: Final answer
    x = 378.18

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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.