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Finding the Fourth Proportional to 588.28, 882.42 and 203.53

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Solution

The fourth proportional to 588.28, 882.42 and 203.53 is: 305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.28 : 882.42 = 203.53 : x
  2. Step 2: Convert to fraction form
    588.28/882.42 = 203.53/x
  3. Step 3: Cross multiply
    588.28x = 882.42 × 203.53
  4. Step 4: Simplify right side
    588.28x = 179,600.43
  5. Step 5: Solve for x
    x = 179,600.43/588.28
  6. Step 6: Final answer
    x = 305.30

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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.