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Finding the Fourth Proportional to 912.25, 1,367.97 and 262.90

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Solution

The fourth proportional to 912.25, 1,367.97 and 262.90 is: 394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.25 : 1,367.97 = 262.90 : x
  2. Step 2: Convert to fraction form
    912.25/1,367.97 = 262.90/x
  3. Step 3: Cross multiply
    912.25x = 1,367.97 × 262.90
  4. Step 4: Simplify right side
    912.25x = 359,639.31
  5. Step 5: Solve for x
    x = 359,639.31/912.25
  6. Step 6: Final answer
    x = 394.23

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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.