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Finding the Fourth Proportional to 365.59, 547.83 and 243.42

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Solution

The fourth proportional to 365.59, 547.83 and 243.42 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.59 : 547.83 = 243.42 : x
  2. Step 2: Convert to fraction form
    365.59/547.83 = 243.42/x
  3. Step 3: Cross multiply
    365.59x = 547.83 × 243.42
  4. Step 4: Simplify right side
    365.59x = 133,352.78
  5. Step 5: Solve for x
    x = 133,352.78/365.59
  6. Step 6: Final answer
    x = 364.76

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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.