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Finding the Fourth Proportional to 410.57, 616.31 and 409.05

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Solution

The fourth proportional to 410.57, 616.31 and 409.05 is: 614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.57 : 616.31 = 409.05 : x
  2. Step 2: Convert to fraction form
    410.57/616.31 = 409.05/x
  3. Step 3: Cross multiply
    410.57x = 616.31 × 409.05
  4. Step 4: Simplify right side
    410.57x = 252,096.48
  5. Step 5: Solve for x
    x = 252,096.48/410.57
  6. Step 6: Final answer
    x = 614.02

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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.