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Finding the Fourth Proportional to 636.77, 878.73 and 357.00

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Solution

The fourth proportional to 636.77, 878.73 and 357.00 is: 492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.77 : 878.73 = 357.00 : x
  2. Step 2: Convert to fraction form
    636.77/878.73 = 357.00/x
  3. Step 3: Cross multiply
    636.77x = 878.73 × 357.00
  4. Step 4: Simplify right side
    636.77x = 313,701.98
  5. Step 5: Solve for x
    x = 313,701.98/636.77
  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.