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Finding the Fourth Proportional to 439.87, 658.86 and 208.41

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Solution

The fourth proportional to 439.87, 658.86 and 208.41 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.87 : 658.86 = 208.41 : x
  2. Step 2: Convert to fraction form
    439.87/658.86 = 208.41/x
  3. Step 3: Cross multiply
    439.87x = 658.86 × 208.41
  4. Step 4: Simplify right side
    439.87x = 137,314.64
  5. Step 5: Solve for x
    x = 137,314.64/439.87
  6. Step 6: Final answer
    x = 312.17

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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.