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Finding the Fourth Proportional to 398.68, 598.24 and 216.06

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Solution

The fourth proportional to 398.68, 598.24 and 216.06 is: 324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.68 : 598.24 = 216.06 : x
  2. Step 2: Convert to fraction form
    398.68/598.24 = 216.06/x
  3. Step 3: Cross multiply
    398.68x = 598.24 × 216.06
  4. Step 4: Simplify right side
    398.68x = 129,255.73
  5. Step 5: Solve for x
    x = 129,255.73/398.68
  6. Step 6: Final answer
    x = 324.21

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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.