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Finding the Fourth Proportional to 617.24, 925.86 and 292.64

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Solution

The fourth proportional to 617.24, 925.86 and 292.64 is: 438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.24 : 925.86 = 292.64 : x
  2. Step 2: Convert to fraction form
    617.24/925.86 = 292.64/x
  3. Step 3: Cross multiply
    617.24x = 925.86 × 292.64
  4. Step 4: Simplify right side
    617.24x = 270,943.67
  5. Step 5: Solve for x
    x = 270,943.67/617.24
  6. Step 6: Final answer
    x = 438.96

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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.