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Finding the Fourth Proportional to 588.38, 882.56 and 203.62

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Solution

The fourth proportional to 588.38, 882.56 and 203.62 is: 305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.38 : 882.56 = 203.62 : x
  2. Step 2: Convert to fraction form
    588.38/882.56 = 203.62/x
  3. Step 3: Cross multiply
    588.38x = 882.56 × 203.62
  4. Step 4: Simplify right side
    588.38x = 179,706.87
  5. Step 5: Solve for x
    x = 179,706.87/588.38
  6. Step 6: Final answer
    x = 305.43

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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.