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Finding the Fourth Proportional to 338.38, 465.92 and 289.14

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Solution

The fourth proportional to 338.38, 465.92 and 289.14 is: 398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.38 : 465.92 = 289.14 : x
  2. Step 2: Convert to fraction form
    338.38/465.92 = 289.14/x
  3. Step 3: Cross multiply
    338.38x = 465.92 × 289.14
  4. Step 4: Simplify right side
    338.38x = 134,716.11
  5. Step 5: Solve for x
    x = 134,716.11/338.38
  6. Step 6: Final answer
    x = 398.12

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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.