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Finding the Fourth Proportional to 322.60, 445.30 and 249.08

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Solution

The fourth proportional to 322.60, 445.30 and 249.08 is: 343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.60 : 445.30 = 249.08 : x
  2. Step 2: Convert to fraction form
    322.60/445.30 = 249.08/x
  3. Step 3: Cross multiply
    322.60x = 445.30 × 249.08
  4. Step 4: Simplify right side
    322.60x = 110,915.32
  5. Step 5: Solve for x
    x = 110,915.32/322.60
  6. Step 6: Final answer
    x = 343.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.