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Finding the Fourth Proportional to 398.84, 550.33 and 230.76

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Solution

The fourth proportional to 398.84, 550.33 and 230.76 is: 318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.84 : 550.33 = 230.76 : x
  2. Step 2: Convert to fraction form
    398.84/550.33 = 230.76/x
  3. Step 3: Cross multiply
    398.84x = 550.33 × 230.76
  4. Step 4: Simplify right side
    398.84x = 126,993.57
  5. Step 5: Solve for x
    x = 126,993.57/398.84
  6. Step 6: Final answer
    x = 318.41

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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.