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Finding the Fourth Proportional to 575.13, 862.17 and 209.66

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Solution

The fourth proportional to 575.13, 862.17 and 209.66 is: 314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.13 : 862.17 = 209.66 : x
  2. Step 2: Convert to fraction form
    575.13/862.17 = 209.66/x
  3. Step 3: Cross multiply
    575.13x = 862.17 × 209.66
  4. Step 4: Simplify right side
    575.13x = 180,758.25
  5. Step 5: Solve for x
    x = 180,758.25/575.13
  6. Step 6: Final answer
    x = 314.29

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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.