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Finding the Fourth Proportional to 439.84, 660.48 and 331.24

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Solution

The fourth proportional to 439.84, 660.48 and 331.24 is: 497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.84 : 660.48 = 331.24 : x
  2. Step 2: Convert to fraction form
    439.84/660.48 = 331.24/x
  3. Step 3: Cross multiply
    439.84x = 660.48 × 331.24
  4. Step 4: Simplify right side
    439.84x = 218,777.40
  5. Step 5: Solve for x
    x = 218,777.40/439.84
  6. Step 6: Final answer
    x = 497.40

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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.