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Finding the Fourth Proportional to 636.54, 878.49 and 374.64

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Solution

The fourth proportional to 636.54, 878.49 and 374.64 is: 517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.54 : 878.49 = 374.64 : x
  2. Step 2: Convert to fraction form
    636.54/878.49 = 374.64/x
  3. Step 3: Cross multiply
    636.54x = 878.49 × 374.64
  4. Step 4: Simplify right side
    636.54x = 329,117.49
  5. Step 5: Solve for x
    x = 329,117.49/636.54
  6. Step 6: Final answer
    x = 517.04

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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.