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Finding the Fourth Proportional to 574.02, 861.12 and 208.80

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Solution

The fourth proportional to 574.02, 861.12 and 208.80 is: 313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.02 : 861.12 = 208.80 : x
  2. Step 2: Convert to fraction form
    574.02/861.12 = 208.80/x
  3. Step 3: Cross multiply
    574.02x = 861.12 × 208.80
  4. Step 4: Simplify right side
    574.02x = 179,801.86
  5. Step 5: Solve for x
    x = 179,801.86/574.02
  6. Step 6: Final answer
    x = 313.23

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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.