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Finding the Fourth Proportional to 574.74, 862.08 and 141.88

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Solution

The fourth proportional to 574.74, 862.08 and 141.88 is: 212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.74 : 862.08 = 141.88 : x
  2. Step 2: Convert to fraction form
    574.74/862.08 = 141.88/x
  3. Step 3: Cross multiply
    574.74x = 862.08 × 141.88
  4. Step 4: Simplify right side
    574.74x = 122,311.91
  5. Step 5: Solve for x
    x = 122,311.91/574.74
  6. Step 6: Final answer
    x = 212.81

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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.