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Finding the Fourth Proportional to 322.70, 445.29 and 248.90

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Solution

The fourth proportional to 322.70, 445.29 and 248.90 is: 343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.70 : 445.29 = 248.90 : x
  2. Step 2: Convert to fraction form
    322.70/445.29 = 248.90/x
  3. Step 3: Cross multiply
    322.70x = 445.29 × 248.90
  4. Step 4: Simplify right side
    322.70x = 110,830.45
  5. Step 5: Solve for x
    x = 110,830.45/322.70
  6. Step 6: Final answer
    x = 343.45

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