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Finding the Fourth Proportional to 636.27, 878.40 and 387.65

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Solution

The fourth proportional to 636.27, 878.40 and 387.65 is: 535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.27 : 878.40 = 387.65 : x
  2. Step 2: Convert to fraction form
    636.27/878.40 = 387.65/x
  3. Step 3: Cross multiply
    636.27x = 878.40 × 387.65
  4. Step 4: Simplify right side
    636.27x = 340,507.37
  5. Step 5: Solve for x
    x = 340,507.37/636.27
  6. Step 6: Final answer
    x = 535.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.