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Finding the Fourth Proportional to 650.95, 976.57 and 212.22

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Solution

The fourth proportional to 650.95, 976.57 and 212.22 is: 318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.95 : 976.57 = 212.22 : x
  2. Step 2: Convert to fraction form
    650.95/976.57 = 212.22/x
  3. Step 3: Cross multiply
    650.95x = 976.57 × 212.22
  4. Step 4: Simplify right side
    650.95x = 207,247.15
  5. Step 5: Solve for x
    x = 207,247.15/650.95
  6. Step 6: Final answer
    x = 318.38

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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.