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Finding the Fourth Proportional to 438.34, 656.97 and 232.39

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Solution

The fourth proportional to 438.34, 656.97 and 232.39 is: 348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.34 : 656.97 = 232.39 : x
  2. Step 2: Convert to fraction form
    438.34/656.97 = 232.39/x
  3. Step 3: Cross multiply
    438.34x = 656.97 × 232.39
  4. Step 4: Simplify right side
    438.34x = 152,673.26
  5. Step 5: Solve for x
    x = 152,673.26/438.34
  6. Step 6: Final answer
    x = 348.30

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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.