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Finding the Fourth Proportional to 574.59, 862.56 and 411.78

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Solution

The fourth proportional to 574.59, 862.56 and 411.78 is: 618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.59 : 862.56 = 411.78 : x
  2. Step 2: Convert to fraction form
    574.59/862.56 = 411.78/x
  3. Step 3: Cross multiply
    574.59x = 862.56 × 411.78
  4. Step 4: Simplify right side
    574.59x = 355,184.96
  5. Step 5: Solve for x
    x = 355,184.96/574.59
  6. Step 6: Final answer
    x = 618.15

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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.