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Finding the Fourth Proportional to 857.74, 1,286.50 and 302.32

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Solution

The fourth proportional to 857.74, 1,286.50 and 302.32 is: 453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.74 : 1,286.50 = 302.32 : x
  2. Step 2: Convert to fraction form
    857.74/1,286.50 = 302.32/x
  3. Step 3: Cross multiply
    857.74x = 1,286.50 × 302.32
  4. Step 4: Simplify right side
    857.74x = 388,933.92
  5. Step 5: Solve for x
    x = 388,933.92/857.74
  6. Step 6: Final answer
    x = 453.44

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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.