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Finding the Fourth Proportional to 579.71, 869.33 and 232.82

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Solution

The fourth proportional to 579.71, 869.33 and 232.82 is: 349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.71 : 869.33 = 232.82 : x
  2. Step 2: Convert to fraction form
    579.71/869.33 = 232.82/x
  3. Step 3: Cross multiply
    579.71x = 869.33 × 232.82
  4. Step 4: Simplify right side
    579.71x = 202,401.80
  5. Step 5: Solve for x
    x = 202,401.80/579.71
  6. Step 6: Final answer
    x = 349.15

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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.