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Finding the Fourth Proportional to 839.20, 1,257.99 and 290.97

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Solution

The fourth proportional to 839.20, 1,257.99 and 290.97 is: 436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.20 : 1,257.99 = 290.97 : x
  2. Step 2: Convert to fraction form
    839.20/1,257.99 = 290.97/x
  3. Step 3: Cross multiply
    839.20x = 1,257.99 × 290.97
  4. Step 4: Simplify right side
    839.20x = 366,037.35
  5. Step 5: Solve for x
    x = 366,037.35/839.20
  6. Step 6: Final answer
    x = 436.17

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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.