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Finding the Fourth Proportional to 574.56, 862.20 and 232.56

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Solution

The fourth proportional to 574.56, 862.20 and 232.56 is: 348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 862.20 = 232.56 : x
  2. Step 2: Convert to fraction form
    574.56/862.20 = 232.56/x
  3. Step 3: Cross multiply
    574.56x = 862.20 × 232.56
  4. Step 4: Simplify right side
    574.56x = 200,513.23
  5. Step 5: Solve for x
    x = 200,513.23/574.56
  6. Step 6: Final answer
    x = 348.99

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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.