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Finding the Fourth Proportional to 397.25, 595.55 and 180.57

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Solution

The fourth proportional to 397.25, 595.55 and 180.57 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.25 : 595.55 = 180.57 : x
  2. Step 2: Convert to fraction form
    397.25/595.55 = 180.57/x
  3. Step 3: Cross multiply
    397.25x = 595.55 × 180.57
  4. Step 4: Simplify right side
    397.25x = 107,538.91
  5. Step 5: Solve for x
    x = 107,538.91/397.25
  6. Step 6: Final answer
    x = 270.71

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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.