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Finding the Fourth Proportional to 574.24, 861.54 and 266.08

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Solution

The fourth proportional to 574.24, 861.54 and 266.08 is: 399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.24 : 861.54 = 266.08 : x
  2. Step 2: Convert to fraction form
    574.24/861.54 = 266.08/x
  3. Step 3: Cross multiply
    574.24x = 861.54 × 266.08
  4. Step 4: Simplify right side
    574.24x = 229,238.56
  5. Step 5: Solve for x
    x = 229,238.56/574.24
  6. Step 6: Final answer
    x = 399.20

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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.