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Finding the Fourth Proportional to 574.24, 861.53 and 209.08

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Solution

The fourth proportional to 574.24, 861.53 and 209.08 is: 313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.24 : 861.53 = 209.08 : x
  2. Step 2: Convert to fraction form
    574.24/861.53 = 209.08/x
  3. Step 3: Cross multiply
    574.24x = 861.53 × 209.08
  4. Step 4: Simplify right side
    574.24x = 180,123.34
  5. Step 5: Solve for x
    x = 180,123.34/574.24
  6. Step 6: Final answer
    x = 313.68

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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.