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Finding the Fourth Proportional to 575.10, 861.98 and 209.66

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Solution

The fourth proportional to 575.10, 861.98 and 209.66 is: 314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.10 : 861.98 = 209.66 : x
  2. Step 2: Convert to fraction form
    575.10/861.98 = 209.66/x
  3. Step 3: Cross multiply
    575.10x = 861.98 × 209.66
  4. Step 4: Simplify right side
    575.10x = 180,717.37
  5. Step 5: Solve for x
    x = 180,717.37/575.10
  6. Step 6: Final answer
    x = 314.24

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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.