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Finding the Fourth Proportional to 636.86, 878.75 and 357.10

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Solution

The fourth proportional to 636.86, 878.75 and 357.10 is: 492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.86 : 878.75 = 357.10 : x
  2. Step 2: Convert to fraction form
    636.86/878.75 = 357.10/x
  3. Step 3: Cross multiply
    636.86x = 878.75 × 357.10
  4. Step 4: Simplify right side
    636.86x = 313,801.63
  5. Step 5: Solve for x
    x = 313,801.63/636.86
  6. Step 6: Final answer
    x = 492.73

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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.