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Finding the Fourth Proportional to 532.31, 734.57 and 299.43

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Solution

The fourth proportional to 532.31, 734.57 and 299.43 is: 413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.31 : 734.57 = 299.43 : x
  2. Step 2: Convert to fraction form
    532.31/734.57 = 299.43/x
  3. Step 3: Cross multiply
    532.31x = 734.57 × 299.43
  4. Step 4: Simplify right side
    532.31x = 219,952.30
  5. Step 5: Solve for x
    x = 219,952.30/532.31
  6. Step 6: Final answer
    x = 413.21

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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.