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Finding the Fourth Proportional to 651.06, 976.23 and 217.98

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Solution

The fourth proportional to 651.06, 976.23 and 217.98 is: 326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.06 : 976.23 = 217.98 : x
  2. Step 2: Convert to fraction form
    651.06/976.23 = 217.98/x
  3. Step 3: Cross multiply
    651.06x = 976.23 × 217.98
  4. Step 4: Simplify right side
    651.06x = 212,798.62
  5. Step 5: Solve for x
    x = 212,798.62/651.06
  6. Step 6: Final answer
    x = 326.85

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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.