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Finding the Fourth Proportional to 617.23, 925.85 and 252.28

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Solution

The fourth proportional to 617.23, 925.85 and 252.28 is: 378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.23 : 925.85 = 252.28 : x
  2. Step 2: Convert to fraction form
    617.23/925.85 = 252.28/x
  3. Step 3: Cross multiply
    617.23x = 925.85 × 252.28
  4. Step 4: Simplify right side
    617.23x = 233,573.44
  5. Step 5: Solve for x
    x = 233,573.44/617.23
  6. Step 6: Final answer
    x = 378.42

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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.