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Finding the Fourth Proportional to 410.34, 615.33 and 217.92

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Solution

The fourth proportional to 410.34, 615.33 and 217.92 is: 326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.34 : 615.33 = 217.92 : x
  2. Step 2: Convert to fraction form
    410.34/615.33 = 217.92/x
  3. Step 3: Cross multiply
    410.34x = 615.33 × 217.92
  4. Step 4: Simplify right side
    410.34x = 134,092.71
  5. Step 5: Solve for x
    x = 134,092.71/410.34
  6. Step 6: Final answer
    x = 326.78

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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.