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Finding the Fourth Proportional to 439.40, 658.98 and 165.47

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Solution

The fourth proportional to 439.40, 658.98 and 165.47 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.40 : 658.98 = 165.47 : x
  2. Step 2: Convert to fraction form
    439.40/658.98 = 165.47/x
  3. Step 3: Cross multiply
    439.40x = 658.98 × 165.47
  4. Step 4: Simplify right side
    439.40x = 109,041.42
  5. Step 5: Solve for x
    x = 109,041.42/439.40
  6. Step 6: Final answer
    x = 248.16

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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.