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Finding the Fourth Proportional to 537.14, 745.22 and 532.28

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Solution

The fourth proportional to 537.14, 745.22 and 532.28 is: 738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 745.22 = 532.28 : x
  2. Step 2: Convert to fraction form
    537.14/745.22 = 532.28/x
  3. Step 3: Cross multiply
    537.14x = 745.22 × 532.28
  4. Step 4: Simplify right side
    537.14x = 396,665.70
  5. Step 5: Solve for x
    x = 396,665.70/537.14
  6. Step 6: Final answer
    x = 738.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.