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Finding the Fourth Proportional to 638.65, 959.12 and 537.28

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Solution

The fourth proportional to 638.65, 959.12 and 537.28 is: 806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.65 : 959.12 = 537.28 : x
  2. Step 2: Convert to fraction form
    638.65/959.12 = 537.28/x
  3. Step 3: Cross multiply
    638.65x = 959.12 × 537.28
  4. Step 4: Simplify right side
    638.65x = 515,321.34
  5. Step 5: Solve for x
    x = 515,321.34/638.65
  6. Step 6: Final answer
    x = 806.89

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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.