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Finding the Fourth Proportional to 327.70, 452.24 and 215.70

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Solution

The fourth proportional to 327.70, 452.24 and 215.70 is: 297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.70 : 452.24 = 215.70 : x
  2. Step 2: Convert to fraction form
    327.70/452.24 = 215.70/x
  3. Step 3: Cross multiply
    327.70x = 452.24 × 215.70
  4. Step 4: Simplify right side
    327.70x = 97,548.17
  5. Step 5: Solve for x
    x = 97,548.17/327.70
  6. Step 6: Final answer
    x = 297.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.