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Finding the Fourth Proportional to 438.68, 656.60 and 232.96

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Solution

The fourth proportional to 438.68, 656.60 and 232.96 is: 348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.68 : 656.60 = 232.96 : x
  2. Step 2: Convert to fraction form
    438.68/656.60 = 232.96/x
  3. Step 3: Cross multiply
    438.68x = 656.60 × 232.96
  4. Step 4: Simplify right side
    438.68x = 152,961.54
  5. Step 5: Solve for x
    x = 152,961.54/438.68
  6. Step 6: Final answer
    x = 348.69

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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.