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Finding the Fourth Proportional to 636.82, 878.75 and 357.02

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Solution

The fourth proportional to 636.82, 878.75 and 357.02 is: 492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.82 : 878.75 = 357.02 : x
  2. Step 2: Convert to fraction form
    636.82/878.75 = 357.02/x
  3. Step 3: Cross multiply
    636.82x = 878.75 × 357.02
  4. Step 4: Simplify right side
    636.82x = 313,727.82
  5. Step 5: Solve for x
    x = 313,727.82/636.82
  6. Step 6: Final answer
    x = 492.65

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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.