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Finding the Fourth Proportional to 981.64, 1,472.45 and 332.37

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Solution

The fourth proportional to 981.64, 1,472.45 and 332.37 is: 498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.64 : 1,472.45 = 332.37 : x
  2. Step 2: Convert to fraction form
    981.64/1,472.45 = 332.37/x
  3. Step 3: Cross multiply
    981.64x = 1,472.45 × 332.37
  4. Step 4: Simplify right side
    981.64x = 489,398.21
  5. Step 5: Solve for x
    x = 489,398.21/981.64
  6. Step 6: Final answer
    x = 498.55

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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.