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Finding the Fourth Proportional to 398.70, 550.12 and 268.08

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Solution

The fourth proportional to 398.70, 550.12 and 268.08 is: 369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.70 : 550.12 = 268.08 : x
  2. Step 2: Convert to fraction form
    398.70/550.12 = 268.08/x
  3. Step 3: Cross multiply
    398.70x = 550.12 × 268.08
  4. Step 4: Simplify right side
    398.70x = 147,476.17
  5. Step 5: Solve for x
    x = 147,476.17/398.70
  6. Step 6: Final answer
    x = 369.89

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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.