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Finding the Fourth Proportional to 438.83, 658.24 and 114.20

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Solution

The fourth proportional to 438.83, 658.24 and 114.20 is: 171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.83 : 658.24 = 114.20 : x
  2. Step 2: Convert to fraction form
    438.83/658.24 = 114.20/x
  3. Step 3: Cross multiply
    438.83x = 658.24 × 114.20
  4. Step 4: Simplify right side
    438.83x = 75,167.72
  5. Step 5: Solve for x
    x = 75,167.72/438.83
  6. Step 6: Final answer
    x = 171.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.