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Finding the Fourth Proportional to 449.28, 672.84 and 266.04

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Solution

The fourth proportional to 449.28, 672.84 and 266.04 is: 398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.28 : 672.84 = 266.04 : x
  2. Step 2: Convert to fraction form
    449.28/672.84 = 266.04/x
  3. Step 3: Cross multiply
    449.28x = 672.84 × 266.04
  4. Step 4: Simplify right side
    449.28x = 179,002.35
  5. Step 5: Solve for x
    x = 179,002.35/449.28
  6. Step 6: Final answer
    x = 398.42

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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.