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Finding the Fourth Proportional to 324.64, 448.12 and 251.14

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Solution

The fourth proportional to 324.64, 448.12 and 251.14 is: 346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.64 : 448.12 = 251.14 : x
  2. Step 2: Convert to fraction form
    324.64/448.12 = 251.14/x
  3. Step 3: Cross multiply
    324.64x = 448.12 × 251.14
  4. Step 4: Simplify right side
    324.64x = 112,540.86
  5. Step 5: Solve for x
    x = 112,540.86/324.64
  6. Step 6: Final answer
    x = 346.66

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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.