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Finding the Fourth Proportional to 426.06, 638.04 and 220.08

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Solution

The fourth proportional to 426.06, 638.04 and 220.08 is: 329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.06 : 638.04 = 220.08 : x
  2. Step 2: Convert to fraction form
    426.06/638.04 = 220.08/x
  3. Step 3: Cross multiply
    426.06x = 638.04 × 220.08
  4. Step 4: Simplify right side
    426.06x = 140,419.84
  5. Step 5: Solve for x
    x = 140,419.84/426.06
  6. Step 6: Final answer
    x = 329.58

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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.