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Finding the Fourth Proportional to 322.72, 484.48 and 230.24

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Solution

The fourth proportional to 322.72, 484.48 and 230.24 is: 345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 484.48 = 230.24 : x
  2. Step 2: Convert to fraction form
    322.72/484.48 = 230.24/x
  3. Step 3: Cross multiply
    322.72x = 484.48 × 230.24
  4. Step 4: Simplify right side
    322.72x = 111,546.68
  5. Step 5: Solve for x
    x = 111,546.68/322.72
  6. Step 6: Final answer
    x = 345.65

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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.