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Finding the Fourth Proportional to 289.85, 400.38 and 216.04

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Solution

The fourth proportional to 289.85, 400.38 and 216.04 is: 298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 400.38 = 216.04 : x
  2. Step 2: Convert to fraction form
    289.85/400.38 = 216.04/x
  3. Step 3: Cross multiply
    289.85x = 400.38 × 216.04
  4. Step 4: Simplify right side
    289.85x = 86,497.69
  5. Step 5: Solve for x
    x = 86,497.69/289.85
  6. Step 6: Final answer
    x = 298.42

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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.