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Finding the Fourth Proportional to 439.30, 658.68 and 322.66

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Solution

The fourth proportional to 439.30, 658.68 and 322.66 is: 483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.30 : 658.68 = 322.66 : x
  2. Step 2: Convert to fraction form
    439.30/658.68 = 322.66/x
  3. Step 3: Cross multiply
    439.30x = 658.68 × 322.66
  4. Step 4: Simplify right side
    439.30x = 212,529.69
  5. Step 5: Solve for x
    x = 212,529.69/439.30
  6. Step 6: Final answer
    x = 483.79

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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.