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Finding the Fourth Proportional to 588.44, 876.82 and 523.82

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Solution

The fourth proportional to 588.44, 876.82 and 523.82 is: 780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.44 : 876.82 = 523.82 : x
  2. Step 2: Convert to fraction form
    588.44/876.82 = 523.82/x
  3. Step 3: Cross multiply
    588.44x = 876.82 × 523.82
  4. Step 4: Simplify right side
    588.44x = 459,295.85
  5. Step 5: Solve for x
    x = 459,295.85/588.44
  6. Step 6: Final answer
    x = 780.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.