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Finding the Fourth Proportional to 892.26, 1,338.12 and 315

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Solution

The fourth proportional to 892.26, 1,338.12 and 315 is: 472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.26 : 1,338.12 = 315 : x
  2. Step 2: Convert to fraction form
    892.26/1,338.12 = 315/x
  3. Step 3: Cross multiply
    892.26x = 1,338.12 × 315
  4. Step 4: Simplify right side
    892.26x = 421,507.80
  5. Step 5: Solve for x
    x = 421,507.80/892.26
  6. Step 6: Final answer
    x = 472.40

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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.