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Finding the Fourth Proportional to 843.28, 1,264.07 and 295.04

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Solution

The fourth proportional to 843.28, 1,264.07 and 295.04 is: 442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.28 : 1,264.07 = 295.04 : x
  2. Step 2: Convert to fraction form
    843.28/1,264.07 = 295.04/x
  3. Step 3: Cross multiply
    843.28x = 1,264.07 × 295.04
  4. Step 4: Simplify right side
    843.28x = 372,955.11
  5. Step 5: Solve for x
    x = 372,955.11/843.28
  6. Step 6: Final answer
    x = 442.27

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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.