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Finding the Fourth Proportional to 322.38, 483.44 and 214.85

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Solution

The fourth proportional to 322.38, 483.44 and 214.85 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 483.44 = 214.85 : x
  2. Step 2: Convert to fraction form
    322.38/483.44 = 214.85/x
  3. Step 3: Cross multiply
    322.38x = 483.44 × 214.85
  4. Step 4: Simplify right side
    322.38x = 103,867.22
  5. Step 5: Solve for x
    x = 103,867.22/322.38
  6. Step 6: Final answer
    x = 322.19

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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.