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Finding the Fourth Proportional to 438.67, 658.36 and 222.31

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Solution

The fourth proportional to 438.67, 658.36 and 222.31 is: 333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.67 : 658.36 = 222.31 : x
  2. Step 2: Convert to fraction form
    438.67/658.36 = 222.31/x
  3. Step 3: Cross multiply
    438.67x = 658.36 × 222.31
  4. Step 4: Simplify right side
    438.67x = 146,356.72
  5. Step 5: Solve for x
    x = 146,356.72/438.67
  6. Step 6: Final answer
    x = 333.64

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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.