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Finding the Fourth Proportional to 426.44, 638.16 and 363.08

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Solution

The fourth proportional to 426.44, 638.16 and 363.08 is: 543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.44 : 638.16 = 363.08 : x
  2. Step 2: Convert to fraction form
    426.44/638.16 = 363.08/x
  3. Step 3: Cross multiply
    426.44x = 638.16 × 363.08
  4. Step 4: Simplify right side
    426.44x = 231,703.13
  5. Step 5: Solve for x
    x = 231,703.13/426.44
  6. Step 6: Final answer
    x = 543.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.