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Finding the Fourth Proportional to 322.89, 481.82 and 288.37

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Solution

The fourth proportional to 322.89, 481.82 and 288.37 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.89 : 481.82 = 288.37 : x
  2. Step 2: Convert to fraction form
    322.89/481.82 = 288.37/x
  3. Step 3: Cross multiply
    322.89x = 481.82 × 288.37
  4. Step 4: Simplify right side
    322.89x = 138,944.70
  5. Step 5: Solve for x
    x = 138,944.70/322.89
  6. Step 6: Final answer
    x = 430.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.