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Finding the Fourth Proportional to 575.15, 862.61 and 209.85

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Solution

The fourth proportional to 575.15, 862.61 and 209.85 is: 314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.15 : 862.61 = 209.85 : x
  2. Step 2: Convert to fraction form
    575.15/862.61 = 209.85/x
  3. Step 3: Cross multiply
    575.15x = 862.61 × 209.85
  4. Step 4: Simplify right side
    575.15x = 181,021.97
  5. Step 5: Solve for x
    x = 181,021.97/575.15
  6. Step 6: Final answer
    x = 314.74

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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.