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Finding the Fourth Proportional to 252.33, 376.64 and 217.70

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Solution

The fourth proportional to 252.33, 376.64 and 217.70 is: 324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.33 : 376.64 = 217.70 : x
  2. Step 2: Convert to fraction form
    252.33/376.64 = 217.70/x
  3. Step 3: Cross multiply
    252.33x = 376.64 × 217.70
  4. Step 4: Simplify right side
    252.33x = 81,994.53
  5. Step 5: Solve for x
    x = 81,994.53/252.33
  6. Step 6: Final answer
    x = 324.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.