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Finding the Fourth Proportional to 584.31, 876.77 and 378.82

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Solution

The fourth proportional to 584.31, 876.77 and 378.82 is: 568.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.31 : 876.77 = 378.82 : x
  2. Step 2: Convert to fraction form
    584.31/876.77 = 378.82/x
  3. Step 3: Cross multiply
    584.31x = 876.77 × 378.82
  4. Step 4: Simplify right side
    584.31x = 332,138.01
  5. Step 5: Solve for x
    x = 332,138.01/584.31
  6. Step 6: Final answer
    x = 568.43

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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.