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Finding the Fourth Proportional to 398.74, 598.08 and 217.27

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Solution

The fourth proportional to 398.74, 598.08 and 217.27 is: 325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.74 : 598.08 = 217.27 : x
  2. Step 2: Convert to fraction form
    398.74/598.08 = 217.27/x
  3. Step 3: Cross multiply
    398.74x = 598.08 × 217.27
  4. Step 4: Simplify right side
    398.74x = 129,944.84
  5. Step 5: Solve for x
    x = 129,944.84/398.74
  6. Step 6: Final answer
    x = 325.89

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