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Finding the Fourth Proportional to 857.40, 1,286.19 and 309.42

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Solution

The fourth proportional to 857.40, 1,286.19 and 309.42 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.40 : 1,286.19 = 309.42 : x
  2. Step 2: Convert to fraction form
    857.40/1,286.19 = 309.42/x
  3. Step 3: Cross multiply
    857.40x = 1,286.19 × 309.42
  4. Step 4: Simplify right side
    857.40x = 397,972.91
  5. Step 5: Solve for x
    x = 397,972.91/857.40
  6. Step 6: Final answer
    x = 464.16

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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.