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Finding the Fourth Proportional to 338.91, 508.37 and 217.05

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Solution

The fourth proportional to 338.91, 508.37 and 217.05 is: 325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.91 : 508.37 = 217.05 : x
  2. Step 2: Convert to fraction form
    338.91/508.37 = 217.05/x
  3. Step 3: Cross multiply
    338.91x = 508.37 × 217.05
  4. Step 4: Simplify right side
    338.91x = 110,340.62
  5. Step 5: Solve for x
    x = 110,340.62/338.91
  6. Step 6: Final answer
    x = 325.58

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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.