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Finding the Fourth Proportional to 438.90, 658.44 and 150.54

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Solution

The fourth proportional to 438.90, 658.44 and 150.54 is: 225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.90 : 658.44 = 150.54 : x
  2. Step 2: Convert to fraction form
    438.90/658.44 = 150.54/x
  3. Step 3: Cross multiply
    438.90x = 658.44 × 150.54
  4. Step 4: Simplify right side
    438.90x = 99,121.56
  5. Step 5: Solve for x
    x = 99,121.56/438.90
  6. Step 6: Final answer
    x = 225.84

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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.