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Finding the Fourth Proportional to 490.86, 736.30 and 216.78

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Solution

The fourth proportional to 490.86, 736.30 and 216.78 is: 325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.86 : 736.30 = 216.78 : x
  2. Step 2: Convert to fraction form
    490.86/736.30 = 216.78/x
  3. Step 3: Cross multiply
    490.86x = 736.30 × 216.78
  4. Step 4: Simplify right side
    490.86x = 159,615.11
  5. Step 5: Solve for x
    x = 159,615.11/490.86
  6. Step 6: Final answer
    x = 325.17

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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.