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Finding the Fourth Proportional to 574.86, 862.41 and 209.66

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Solution

The fourth proportional to 574.86, 862.41 and 209.66 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.86 : 862.41 = 209.66 : x
  2. Step 2: Convert to fraction form
    574.86/862.41 = 209.66/x
  3. Step 3: Cross multiply
    574.86x = 862.41 × 209.66
  4. Step 4: Simplify right side
    574.86x = 180,808.57
  5. Step 5: Solve for x
    x = 180,808.57/574.86
  6. Step 6: Final answer
    x = 314.53

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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.