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Finding the Fourth Proportional to 574.06, 861.06 and 266.20

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Solution

The fourth proportional to 574.06, 861.06 and 266.20 is: 399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.06 : 861.06 = 266.20 : x
  2. Step 2: Convert to fraction form
    574.06/861.06 = 266.20/x
  3. Step 3: Cross multiply
    574.06x = 861.06 × 266.20
  4. Step 4: Simplify right side
    574.06x = 229,214.17
  5. Step 5: Solve for x
    x = 229,214.17/574.06
  6. Step 6: Final answer
    x = 399.29

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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.