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Finding the Fourth Proportional to 438.70, 658.42 and 292.04

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Solution

The fourth proportional to 438.70, 658.42 and 292.04 is: 438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.70 : 658.42 = 292.04 : x
  2. Step 2: Convert to fraction form
    438.70/658.42 = 292.04/x
  3. Step 3: Cross multiply
    438.70x = 658.42 × 292.04
  4. Step 4: Simplify right side
    438.70x = 192,284.98
  5. Step 5: Solve for x
    x = 192,284.98/438.70
  6. Step 6: Final answer
    x = 438.31

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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.