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Finding the Fourth Proportional to 574.80, 861.93 and 209.49

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Solution

The fourth proportional to 574.80, 861.93 and 209.49 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 861.93 = 209.49 : x
  2. Step 2: Convert to fraction form
    574.80/861.93 = 209.49/x
  3. Step 3: Cross multiply
    574.80x = 861.93 × 209.49
  4. Step 4: Simplify right side
    574.80x = 180,565.72
  5. Step 5: Solve for x
    x = 180,565.72/574.80
  6. Step 6: Final answer
    x = 314.14

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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.