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Finding the Fourth Proportional to 663.39, 912.44 and 532.11

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Solution

The fourth proportional to 663.39, 912.44 and 532.11 is: 731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.39 : 912.44 = 532.11 : x
  2. Step 2: Convert to fraction form
    663.39/912.44 = 532.11/x
  3. Step 3: Cross multiply
    663.39x = 912.44 × 532.11
  4. Step 4: Simplify right side
    663.39x = 485,515.79
  5. Step 5: Solve for x
    x = 485,515.79/663.39
  6. Step 6: Final answer
    x = 731.87

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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.