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Finding the Fourth Proportional to 591.63, 887.31 and 180.54

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Solution

The fourth proportional to 591.63, 887.31 and 180.54 is: 270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.63 : 887.31 = 180.54 : x
  2. Step 2: Convert to fraction form
    591.63/887.31 = 180.54/x
  3. Step 3: Cross multiply
    591.63x = 887.31 × 180.54
  4. Step 4: Simplify right side
    591.63x = 160,194.95
  5. Step 5: Solve for x
    x = 160,194.95/591.63
  6. Step 6: Final answer
    x = 270.77

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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.