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Finding the Fourth Proportional to 449.24, 672.08 and 404.16

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Solution

The fourth proportional to 449.24, 672.08 and 404.16 is: 604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.24 : 672.08 = 404.16 : x
  2. Step 2: Convert to fraction form
    449.24/672.08 = 404.16/x
  3. Step 3: Cross multiply
    449.24x = 672.08 × 404.16
  4. Step 4: Simplify right side
    449.24x = 271,627.85
  5. Step 5: Solve for x
    x = 271,627.85/449.24
  6. Step 6: Final answer
    x = 604.64

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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.