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Finding the Fourth Proportional to 588.30, 882.17 and 177.36

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Solution

The fourth proportional to 588.30, 882.17 and 177.36 is: 265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.30 : 882.17 = 177.36 : x
  2. Step 2: Convert to fraction form
    588.30/882.17 = 177.36/x
  3. Step 3: Cross multiply
    588.30x = 882.17 × 177.36
  4. Step 4: Simplify right side
    588.30x = 156,460.78
  5. Step 5: Solve for x
    x = 156,460.78/588.30
  6. Step 6: Final answer
    x = 265.95

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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.