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Finding the Fourth Proportional to 574.61, 862.00 and 209.66

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Solution

The fourth proportional to 574.61, 862.00 and 209.66 is: 314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.61 : 862.00 = 209.66 : x
  2. Step 2: Convert to fraction form
    574.61/862.00 = 209.66/x
  3. Step 3: Cross multiply
    574.61x = 862.00 × 209.66
  4. Step 4: Simplify right side
    574.61x = 180,722.09
  5. Step 5: Solve for x
    x = 180,722.09/574.61
  6. Step 6: Final answer
    x = 314.52

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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.