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Finding the Fourth Proportional to 579.22, 868.74 and 232.80

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Solution

The fourth proportional to 579.22, 868.74 and 232.80 is: 349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.22 : 868.74 = 232.80 : x
  2. Step 2: Convert to fraction form
    579.22/868.74 = 232.80/x
  3. Step 3: Cross multiply
    579.22x = 868.74 × 232.80
  4. Step 4: Simplify right side
    579.22x = 202,242.67
  5. Step 5: Solve for x
    x = 202,242.67/579.22
  6. Step 6: Final answer
    x = 349.16

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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.