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Finding the Fourth Proportional to 438.65, 658.08 and 178.79

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Solution

The fourth proportional to 438.65, 658.08 and 178.79 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.65 : 658.08 = 178.79 : x
  2. Step 2: Convert to fraction form
    438.65/658.08 = 178.79/x
  3. Step 3: Cross multiply
    438.65x = 658.08 × 178.79
  4. Step 4: Simplify right side
    438.65x = 117,659.77
  5. Step 5: Solve for x
    x = 117,659.77/438.65
  6. Step 6: Final answer
    x = 268.23

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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.