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Finding the Fourth Proportional to 438.98, 658.09 and 195.32

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Solution

The fourth proportional to 438.98, 658.09 and 195.32 is: 292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.98 : 658.09 = 195.32 : x
  2. Step 2: Convert to fraction form
    438.98/658.09 = 195.32/x
  3. Step 3: Cross multiply
    438.98x = 658.09 × 195.32
  4. Step 4: Simplify right side
    438.98x = 128,538.14
  5. Step 5: Solve for x
    x = 128,538.14/438.98
  6. Step 6: Final answer
    x = 292.81

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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.