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Finding the Fourth Proportional to 410.60, 615.38 and 204.66

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Solution

The fourth proportional to 410.60, 615.38 and 204.66 is: 306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.60 : 615.38 = 204.66 : x
  2. Step 2: Convert to fraction form
    410.60/615.38 = 204.66/x
  3. Step 3: Cross multiply
    410.60x = 615.38 × 204.66
  4. Step 4: Simplify right side
    410.60x = 125,943.67
  5. Step 5: Solve for x
    x = 125,943.67/410.60
  6. Step 6: Final answer
    x = 306.73

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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.