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Finding the Fourth Proportional to 439.62, 658.41 and 309.75

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Solution

The fourth proportional to 439.62, 658.41 and 309.75 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.62 : 658.41 = 309.75 : x
  2. Step 2: Convert to fraction form
    439.62/658.41 = 309.75/x
  3. Step 3: Cross multiply
    439.62x = 658.41 × 309.75
  4. Step 4: Simplify right side
    439.62x = 203,942.50
  5. Step 5: Solve for x
    x = 203,942.50/439.62
  6. Step 6: Final answer
    x = 463.91

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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.