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Finding the Fourth Proportional to 588.62, 882.69 and 295.88

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Solution

The fourth proportional to 588.62, 882.69 and 295.88 is: 443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.62 : 882.69 = 295.88 : x
  2. Step 2: Convert to fraction form
    588.62/882.69 = 295.88/x
  3. Step 3: Cross multiply
    588.62x = 882.69 × 295.88
  4. Step 4: Simplify right side
    588.62x = 261,165.90
  5. Step 5: Solve for x
    x = 261,165.90/588.62
  6. Step 6: Final answer
    x = 443.70

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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.