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Finding the Fourth Proportional to 588.38, 881.92 and 295.41

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Solution

The fourth proportional to 588.38, 881.92 and 295.41 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.38 : 881.92 = 295.41 : x
  2. Step 2: Convert to fraction form
    588.38/881.92 = 295.41/x
  3. Step 3: Cross multiply
    588.38x = 881.92 × 295.41
  4. Step 4: Simplify right side
    588.38x = 260,527.99
  5. Step 5: Solve for x
    x = 260,527.99/588.38
  6. Step 6: Final answer
    x = 442.79

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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.