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Finding the Fourth Proportional to 577.13, 864.89 and 251.82

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Solution

The fourth proportional to 577.13, 864.89 and 251.82 is: 377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 864.89 = 251.82 : x
  2. Step 2: Convert to fraction form
    577.13/864.89 = 251.82/x
  3. Step 3: Cross multiply
    577.13x = 864.89 × 251.82
  4. Step 4: Simplify right side
    577.13x = 217,793.81
  5. Step 5: Solve for x
    x = 217,793.81/577.13
  6. Step 6: Final answer
    x = 377.37

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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.