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Finding the Fourth Proportional to 365.28, 547.17 and 243.60

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Solution

The fourth proportional to 365.28, 547.17 and 243.60 is: 364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 547.17 = 243.60 : x
  2. Step 2: Convert to fraction form
    365.28/547.17 = 243.60/x
  3. Step 3: Cross multiply
    365.28x = 547.17 × 243.60
  4. Step 4: Simplify right side
    365.28x = 133,290.61
  5. Step 5: Solve for x
    x = 133,290.61/365.28
  6. Step 6: Final answer
    x = 364.90

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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.