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Finding the Fourth Proportional to 322.85, 484.37 and 225.31

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Solution

The fourth proportional to 322.85, 484.37 and 225.31 is: 338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.85 : 484.37 = 225.31 : x
  2. Step 2: Convert to fraction form
    322.85/484.37 = 225.31/x
  3. Step 3: Cross multiply
    322.85x = 484.37 × 225.31
  4. Step 4: Simplify right side
    322.85x = 109,131.14
  5. Step 5: Solve for x
    x = 109,131.14/322.85
  6. Step 6: Final answer
    x = 338.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.