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Finding the Fourth Proportional to 337.59, 506.52 and 216.09

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Solution

The fourth proportional to 337.59, 506.52 and 216.09 is: 324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.59 : 506.52 = 216.09 : x
  2. Step 2: Convert to fraction form
    337.59/506.52 = 216.09/x
  3. Step 3: Cross multiply
    337.59x = 506.52 × 216.09
  4. Step 4: Simplify right side
    337.59x = 109,451.37
  5. Step 5: Solve for x
    x = 109,451.37/337.59
  6. Step 6: Final answer
    x = 324.22

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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.