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Finding the Fourth Proportional to 398.54, 597.96 and 216.08

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Solution

The fourth proportional to 398.54, 597.96 and 216.08 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.54 : 597.96 = 216.08 : x
  2. Step 2: Convert to fraction form
    398.54/597.96 = 216.08/x
  3. Step 3: Cross multiply
    398.54x = 597.96 × 216.08
  4. Step 4: Simplify right side
    398.54x = 129,207.20
  5. Step 5: Solve for x
    x = 129,207.20/398.54
  6. Step 6: Final answer
    x = 324.20

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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.