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Finding the Fourth Proportional to 439.50, 658.66 and 233.85

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Solution

The fourth proportional to 439.50, 658.66 and 233.85 is: 350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.50 : 658.66 = 233.85 : x
  2. Step 2: Convert to fraction form
    439.50/658.66 = 233.85/x
  3. Step 3: Cross multiply
    439.50x = 658.66 × 233.85
  4. Step 4: Simplify right side
    439.50x = 154,027.64
  5. Step 5: Solve for x
    x = 154,027.64/439.50
  6. Step 6: Final answer
    x = 350.46

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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.