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Finding the Fourth Proportional to 578.43, 868.05 and 231.84

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Solution

The fourth proportional to 578.43, 868.05 and 231.84 is: 347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.43 : 868.05 = 231.84 : x
  2. Step 2: Convert to fraction form
    578.43/868.05 = 231.84/x
  3. Step 3: Cross multiply
    578.43x = 868.05 × 231.84
  4. Step 4: Simplify right side
    578.43x = 201,248.71
  5. Step 5: Solve for x
    x = 201,248.71/578.43
  6. Step 6: Final answer
    x = 347.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.