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Finding the Fourth Proportional to 574.45, 862.04 and 227.72

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Solution

The fourth proportional to 574.45, 862.04 and 227.72 is: 341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.45 : 862.04 = 227.72 : x
  2. Step 2: Convert to fraction form
    574.45/862.04 = 227.72/x
  3. Step 3: Cross multiply
    574.45x = 862.04 × 227.72
  4. Step 4: Simplify right side
    574.45x = 196,306.47
  5. Step 5: Solve for x
    x = 196,306.47/574.45
  6. Step 6: Final answer
    x = 341.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.