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Finding the Fourth Proportional to 410.43, 615.03 and 204.71

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Solution

The fourth proportional to 410.43, 615.03 and 204.71 is: 306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 615.03 = 204.71 : x
  2. Step 2: Convert to fraction form
    410.43/615.03 = 204.71/x
  3. Step 3: Cross multiply
    410.43x = 615.03 × 204.71
  4. Step 4: Simplify right side
    410.43x = 125,905.87
  5. Step 5: Solve for x
    x = 125,905.87/410.43
  6. Step 6: Final answer
    x = 306.77

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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.