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Finding the Fourth Proportional to 981.68, 1,472.34 and 297.68

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Solution

The fourth proportional to 981.68, 1,472.34 and 297.68 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.68 : 1,472.34 = 297.68 : x
  2. Step 2: Convert to fraction form
    981.68/1,472.34 = 297.68/x
  3. Step 3: Cross multiply
    981.68x = 1,472.34 × 297.68
  4. Step 4: Simplify right side
    981.68x = 438,286.17
  5. Step 5: Solve for x
    x = 438,286.17/981.68
  6. Step 6: Final answer
    x = 446.47

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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.