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Finding the Fourth Proportional to 588.43, 882.35 and 177.49

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Solution

The fourth proportional to 588.43, 882.35 and 177.49 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.43 : 882.35 = 177.49 : x
  2. Step 2: Convert to fraction form
    588.43/882.35 = 177.49/x
  3. Step 3: Cross multiply
    588.43x = 882.35 × 177.49
  4. Step 4: Simplify right side
    588.43x = 156,604.33
  5. Step 5: Solve for x
    x = 156,604.33/588.43
  6. Step 6: Final answer
    x = 266.14

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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.