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Finding the Fourth Proportional to 638.81, 880.67 and 540.17

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Solution

The fourth proportional to 638.81, 880.67 and 540.17 is: 744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.81 : 880.67 = 540.17 : x
  2. Step 2: Convert to fraction form
    638.81/880.67 = 540.17/x
  3. Step 3: Cross multiply
    638.81x = 880.67 × 540.17
  4. Step 4: Simplify right side
    638.81x = 475,708.81
  5. Step 5: Solve for x
    x = 475,708.81/638.81
  6. Step 6: Final answer
    x = 744.68

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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.