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Finding the Fourth Proportional to 588.27, 882.49 and 177.52

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Solution

The fourth proportional to 588.27, 882.49 and 177.52 is: 266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.27 : 882.49 = 177.52 : x
  2. Step 2: Convert to fraction form
    588.27/882.49 = 177.52/x
  3. Step 3: Cross multiply
    588.27x = 882.49 × 177.52
  4. Step 4: Simplify right side
    588.27x = 156,661.94
  5. Step 5: Solve for x
    x = 156,661.94/588.27
  6. Step 6: Final answer
    x = 266.31

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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.