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Finding the Fourth Proportional to 636.71, 878.70 and 416.26

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Solution

The fourth proportional to 636.71, 878.70 and 416.26 is: 574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.71 : 878.70 = 416.26 : x
  2. Step 2: Convert to fraction form
    636.71/878.70 = 416.26/x
  3. Step 3: Cross multiply
    636.71x = 878.70 × 416.26
  4. Step 4: Simplify right side
    636.71x = 365,767.03
  5. Step 5: Solve for x
    x = 365,767.03/636.71
  6. Step 6: Final answer
    x = 574.46

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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.