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Finding the Fourth Proportional to 636.52, 878.16 and 403.24

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Solution

The fourth proportional to 636.52, 878.16 and 403.24 is: 556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.52 : 878.16 = 403.24 : x
  2. Step 2: Convert to fraction form
    636.52/878.16 = 403.24/x
  3. Step 3: Cross multiply
    636.52x = 878.16 × 403.24
  4. Step 4: Simplify right side
    636.52x = 354,109.24
  5. Step 5: Solve for x
    x = 354,109.24/636.52
  6. Step 6: Final answer
    x = 556.32

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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.