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Finding the Fourth Proportional to 339.78, 508.82 and 217.67

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Solution

The fourth proportional to 339.78, 508.82 and 217.67 is: 325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.78 : 508.82 = 217.67 : x
  2. Step 2: Convert to fraction form
    339.78/508.82 = 217.67/x
  3. Step 3: Cross multiply
    339.78x = 508.82 × 217.67
  4. Step 4: Simplify right side
    339.78x = 110,754.85
  5. Step 5: Solve for x
    x = 110,754.85/339.78
  6. Step 6: Final answer
    x = 325.96

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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.