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Finding the Fourth Proportional to 674.97, 932.46 and 534.63

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Solution

The fourth proportional to 674.97, 932.46 and 534.63 is: 738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.97 : 932.46 = 534.63 : x
  2. Step 2: Convert to fraction form
    674.97/932.46 = 534.63/x
  3. Step 3: Cross multiply
    674.97x = 932.46 × 534.63
  4. Step 4: Simplify right side
    674.97x = 498,521.09
  5. Step 5: Solve for x
    x = 498,521.09/674.97
  6. Step 6: Final answer
    x = 738.58

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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.