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Finding the Fourth Proportional to 588.46, 881.91 and 382.92

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Solution

The fourth proportional to 588.46, 881.91 and 382.92 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.46 : 881.91 = 382.92 : x
  2. Step 2: Convert to fraction form
    588.46/881.91 = 382.92/x
  3. Step 3: Cross multiply
    588.46x = 881.91 × 382.92
  4. Step 4: Simplify right side
    588.46x = 337,700.98
  5. Step 5: Solve for x
    x = 337,700.98/588.46
  6. Step 6: Final answer
    x = 573.87

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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.