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Finding the Fourth Proportional to 591.46, 887.33 and 180.57

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Solution

The fourth proportional to 591.46, 887.33 and 180.57 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.46 : 887.33 = 180.57 : x
  2. Step 2: Convert to fraction form
    591.46/887.33 = 180.57/x
  3. Step 3: Cross multiply
    591.46x = 887.33 × 180.57
  4. Step 4: Simplify right side
    591.46x = 160,222.21
  5. Step 5: Solve for x
    x = 160,222.21/591.46
  6. Step 6: Final answer
    x = 270.89

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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.