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Finding the Fourth Proportional to 981.39, 1,472.31 and 323.28

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Solution

The fourth proportional to 981.39, 1,472.31 and 323.28 is: 484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.39 : 1,472.31 = 323.28 : x
  2. Step 2: Convert to fraction form
    981.39/1,472.31 = 323.28/x
  3. Step 3: Cross multiply
    981.39x = 1,472.31 × 323.28
  4. Step 4: Simplify right side
    981.39x = 475,968.38
  5. Step 5: Solve for x
    x = 475,968.38/981.39
  6. Step 6: Final answer
    x = 484.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.