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Finding the Fourth Proportional to 663.86, 916.29 and 487.08

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Solution

The fourth proportional to 663.86, 916.29 and 487.08 is: 672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.86 : 916.29 = 487.08 : x
  2. Step 2: Convert to fraction form
    663.86/916.29 = 487.08/x
  3. Step 3: Cross multiply
    663.86x = 916.29 × 487.08
  4. Step 4: Simplify right side
    663.86x = 446,306.53
  5. Step 5: Solve for x
    x = 446,306.53/663.86
  6. Step 6: Final answer
    x = 672.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.