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Finding the Fourth Proportional to 389.49, 584.10 and 216.42

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Solution

The fourth proportional to 389.49, 584.10 and 216.42 is: 324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.49 : 584.10 = 216.42 : x
  2. Step 2: Convert to fraction form
    389.49/584.10 = 216.42/x
  3. Step 3: Cross multiply
    389.49x = 584.10 × 216.42
  4. Step 4: Simplify right side
    389.49x = 126,410.92
  5. Step 5: Solve for x
    x = 126,410.92/389.49
  6. Step 6: Final answer
    x = 324.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.