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Finding the Fourth Proportional to 857.28, 1,286.04 and 309.36

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Solution

The fourth proportional to 857.28, 1,286.04 and 309.36 is: 464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.28 : 1,286.04 = 309.36 : x
  2. Step 2: Convert to fraction form
    857.28/1,286.04 = 309.36/x
  3. Step 3: Cross multiply
    857.28x = 1,286.04 × 309.36
  4. Step 4: Simplify right side
    857.28x = 397,849.33
  5. Step 5: Solve for x
    x = 397,849.33/857.28
  6. Step 6: Final answer
    x = 464.08

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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.