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Finding the Fourth Proportional to 892.42, 1,338.47 and 243

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Solution

The fourth proportional to 892.42, 1,338.47 and 243 is: 364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.42 : 1,338.47 = 243 : x
  2. Step 2: Convert to fraction form
    892.42/1,338.47 = 243/x
  3. Step 3: Cross multiply
    892.42x = 1,338.47 × 243
  4. Step 4: Simplify right side
    892.42x = 325,249.27
  5. Step 5: Solve for x
    x = 325,249.27/892.42
  6. Step 6: Final answer
    x = 364.46

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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.