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Finding the Fourth Proportional to 426.16, 638.01 and 220.24

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Solution

The fourth proportional to 426.16, 638.01 and 220.24 is: 329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 638.01 = 220.24 : x
  2. Step 2: Convert to fraction form
    426.16/638.01 = 220.24/x
  3. Step 3: Cross multiply
    426.16x = 638.01 × 220.24
  4. Step 4: Simplify right side
    426.16x = 140,515.32
  5. Step 5: Solve for x
    x = 140,515.32/426.16
  6. Step 6: Final answer
    x = 329.72

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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.