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Finding the Fourth Proportional to 540.43, 810.92 and 410.39

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Solution

The fourth proportional to 540.43, 810.92 and 410.39 is: 615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.43 : 810.92 = 410.39 : x
  2. Step 2: Convert to fraction form
    540.43/810.92 = 410.39/x
  3. Step 3: Cross multiply
    540.43x = 810.92 × 410.39
  4. Step 4: Simplify right side
    540.43x = 332,793.46
  5. Step 5: Solve for x
    x = 332,793.46/540.43
  6. Step 6: Final answer
    x = 615.79

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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.