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Finding the Fourth Proportional to 591.72, 887.71 and 180.82

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Solution

The fourth proportional to 591.72, 887.71 and 180.82 is: 271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.72 : 887.71 = 180.82 : x
  2. Step 2: Convert to fraction form
    591.72/887.71 = 180.82/x
  3. Step 3: Cross multiply
    591.72x = 887.71 × 180.82
  4. Step 4: Simplify right side
    591.72x = 160,512.60
  5. Step 5: Solve for x
    x = 160,512.60/591.72
  6. Step 6: Final answer
    x = 271.27

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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.