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Finding the Fourth Proportional to 574.56, 862 and 209.46

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Solution

The fourth proportional to 574.56, 862 and 209.46 is: 314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 862 = 209.46 : x
  2. Step 2: Convert to fraction form
    574.56/862 = 209.46/x
  3. Step 3: Cross multiply
    574.56x = 862 × 209.46
  4. Step 4: Simplify right side
    574.56x = 180,554.52
  5. Step 5: Solve for x
    x = 180,554.52/574.56
  6. Step 6: Final answer
    x = 314.25

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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.