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Finding the Fourth Proportional to 399.63, 598.42 and 216.17

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Solution

The fourth proportional to 399.63, 598.42 and 216.17 is: 323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.63 : 598.42 = 216.17 : x
  2. Step 2: Convert to fraction form
    399.63/598.42 = 216.17/x
  3. Step 3: Cross multiply
    399.63x = 598.42 × 216.17
  4. Step 4: Simplify right side
    399.63x = 129,359.97
  5. Step 5: Solve for x
    x = 129,359.97/399.63
  6. Step 6: Final answer
    x = 323.70

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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.