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Finding the Fourth Proportional to 532.03, 734.17 and 299.23

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Solution

The fourth proportional to 532.03, 734.17 and 299.23 is: 412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.03 : 734.17 = 299.23 : x
  2. Step 2: Convert to fraction form
    532.03/734.17 = 299.23/x
  3. Step 3: Cross multiply
    532.03x = 734.17 × 299.23
  4. Step 4: Simplify right side
    532.03x = 219,685.69
  5. Step 5: Solve for x
    x = 219,685.69/532.03
  6. Step 6: Final answer
    x = 412.92

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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.