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Finding the Fourth Proportional to 532.27, 734.57 and 299.40

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Solution

The fourth proportional to 532.27, 734.57 and 299.40 is: 413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.27 : 734.57 = 299.40 : x
  2. Step 2: Convert to fraction form
    532.27/734.57 = 299.40/x
  3. Step 3: Cross multiply
    532.27x = 734.57 × 299.40
  4. Step 4: Simplify right side
    532.27x = 219,930.26
  5. Step 5: Solve for x
    x = 219,930.26/532.27
  6. Step 6: Final answer
    x = 413.19

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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.