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Finding the Fourth Proportional to 588.60, 882.96 and 177.74

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Solution

The fourth proportional to 588.60, 882.96 and 177.74 is: 266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 882.96 = 177.74 : x
  2. Step 2: Convert to fraction form
    588.60/882.96 = 177.74/x
  3. Step 3: Cross multiply
    588.60x = 882.96 × 177.74
  4. Step 4: Simplify right side
    588.60x = 156,932.90
  5. Step 5: Solve for x
    x = 156,932.90/588.60
  6. Step 6: Final answer
    x = 266.62

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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.