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Finding the Fourth Proportional to 588.47, 882.83 and 177.57

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Solution

The fourth proportional to 588.47, 882.83 and 177.57 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.47 : 882.83 = 177.57 : x
  2. Step 2: Convert to fraction form
    588.47/882.83 = 177.57/x
  3. Step 3: Cross multiply
    588.47x = 882.83 × 177.57
  4. Step 4: Simplify right side
    588.47x = 156,763.24
  5. Step 5: Solve for x
    x = 156,763.24/588.47
  6. Step 6: Final answer
    x = 266.39

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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.