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Finding the Fourth Proportional to 410.71, 616.26 and 205.30

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Solution

The fourth proportional to 410.71, 616.26 and 205.30 is: 308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.71 : 616.26 = 205.30 : x
  2. Step 2: Convert to fraction form
    410.71/616.26 = 205.30/x
  3. Step 3: Cross multiply
    410.71x = 616.26 × 205.30
  4. Step 4: Simplify right side
    410.71x = 126,518.18
  5. Step 5: Solve for x
    x = 126,518.18/410.71
  6. Step 6: Final answer
    x = 308.05

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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.