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Finding the Fourth Proportional to 636.89, 878.86 and 357.06

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Solution

The fourth proportional to 636.89, 878.86 and 357.06 is: 492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.89 : 878.86 = 357.06 : x
  2. Step 2: Convert to fraction form
    636.89/878.86 = 357.06/x
  3. Step 3: Cross multiply
    636.89x = 878.86 × 357.06
  4. Step 4: Simplify right side
    636.89x = 313,805.75
  5. Step 5: Solve for x
    x = 313,805.75/636.89
  6. Step 6: Final answer
    x = 492.72

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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.