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Finding the Fourth Proportional to 674.01, 930.30 and 532.13

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Solution

The fourth proportional to 674.01, 930.30 and 532.13 is: 734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.01 : 930.30 = 532.13 : x
  2. Step 2: Convert to fraction form
    674.01/930.30 = 532.13/x
  3. Step 3: Cross multiply
    674.01x = 930.30 × 532.13
  4. Step 4: Simplify right side
    674.01x = 495,037.88
  5. Step 5: Solve for x
    x = 495,037.88/674.01
  6. Step 6: Final answer
    x = 734.47

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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.