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Finding the Fourth Proportional to 577.67, 866.20 and 252.66

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Solution

The fourth proportional to 577.67, 866.20 and 252.66 is: 378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.67 : 866.20 = 252.66 : x
  2. Step 2: Convert to fraction form
    577.67/866.20 = 252.66/x
  3. Step 3: Cross multiply
    577.67x = 866.20 × 252.66
  4. Step 4: Simplify right side
    577.67x = 218,853.46
  5. Step 5: Solve for x
    x = 218,853.46/577.67
  6. Step 6: Final answer
    x = 378.85

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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.