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Finding the Fourth Proportional to 461.56, 691.44 and 449.32

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Solution

The fourth proportional to 461.56, 691.44 and 449.32 is: 673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.56 : 691.44 = 449.32 : x
  2. Step 2: Convert to fraction form
    461.56/691.44 = 449.32/x
  3. Step 3: Cross multiply
    461.56x = 691.44 × 449.32
  4. Step 4: Simplify right side
    461.56x = 310,677.82
  5. Step 5: Solve for x
    x = 310,677.82/461.56
  6. Step 6: Final answer
    x = 673.10

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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.