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Finding the Fourth Proportional to 325.24, 486.78 and 216.52

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Solution

The fourth proportional to 325.24, 486.78 and 216.52 is: 324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.24 : 486.78 = 216.52 : x
  2. Step 2: Convert to fraction form
    325.24/486.78 = 216.52/x
  3. Step 3: Cross multiply
    325.24x = 486.78 × 216.52
  4. Step 4: Simplify right side
    325.24x = 105,397.61
  5. Step 5: Solve for x
    x = 105,397.61/325.24
  6. Step 6: Final answer
    x = 324.06

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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.