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Finding the Fourth Proportional to 892.12, 1,338.20 and 365.08

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Solution

The fourth proportional to 892.12, 1,338.20 and 365.08 is: 547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.12 : 1,338.20 = 365.08 : x
  2. Step 2: Convert to fraction form
    892.12/1,338.20 = 365.08/x
  3. Step 3: Cross multiply
    892.12x = 1,338.20 × 365.08
  4. Step 4: Simplify right side
    892.12x = 488,550.06
  5. Step 5: Solve for x
    x = 488,550.06/892.12
  6. Step 6: Final answer
    x = 547.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.