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Finding the Fourth Proportional to 574.67, 866.24 and 541.22

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Solution

The fourth proportional to 574.67, 866.24 and 541.22 is: 815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.67 : 866.24 = 541.22 : x
  2. Step 2: Convert to fraction form
    574.67/866.24 = 541.22/x
  3. Step 3: Cross multiply
    574.67x = 866.24 × 541.22
  4. Step 4: Simplify right side
    574.67x = 468,819.38
  5. Step 5: Solve for x
    x = 468,819.38/574.67
  6. Step 6: Final answer
    x = 815.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.