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Finding the Fourth Proportional to 574.46, 862.19 and 400.52

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Solution

The fourth proportional to 574.46, 862.19 and 400.52 is: 601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.46 : 862.19 = 400.52 : x
  2. Step 2: Convert to fraction form
    574.46/862.19 = 400.52/x
  3. Step 3: Cross multiply
    574.46x = 862.19 × 400.52
  4. Step 4: Simplify right side
    574.46x = 345,318.03
  5. Step 5: Solve for x
    x = 345,318.03/574.46
  6. Step 6: Final answer
    x = 601.12

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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.