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Finding the Fourth Proportional to 412.31, 617.46 and 238.61

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Solution

The fourth proportional to 412.31, 617.46 and 238.61 is: 357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 617.46 = 238.61 : x
  2. Step 2: Convert to fraction form
    412.31/617.46 = 238.61/x
  3. Step 3: Cross multiply
    412.31x = 617.46 × 238.61
  4. Step 4: Simplify right side
    412.31x = 147,332.78
  5. Step 5: Solve for x
    x = 147,332.78/412.31
  6. Step 6: Final answer
    x = 357.34

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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.