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Finding the Fourth Proportional to 912.12, 1,367.67 and 295.71

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Solution

The fourth proportional to 912.12, 1,367.67 and 295.71 is: 443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.12 : 1,367.67 = 295.71 : x
  2. Step 2: Convert to fraction form
    912.12/1,367.67 = 295.71/x
  3. Step 3: Cross multiply
    912.12x = 1,367.67 × 295.71
  4. Step 4: Simplify right side
    912.12x = 404,433.70
  5. Step 5: Solve for x
    x = 404,433.70/912.12
  6. Step 6: Final answer
    x = 443.40

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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.