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Finding the Fourth Proportional to 439.80, 659.85 and 294.13

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Solution

The fourth proportional to 439.80, 659.85 and 294.13 is: 441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.80 : 659.85 = 294.13 : x
  2. Step 2: Convert to fraction form
    439.80/659.85 = 294.13/x
  3. Step 3: Cross multiply
    439.80x = 659.85 × 294.13
  4. Step 4: Simplify right side
    439.80x = 194,082.57
  5. Step 5: Solve for x
    x = 194,082.57/439.80
  6. Step 6: Final answer
    x = 441.30

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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.