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Finding the Fourth Proportional to 426.50, 638.49 and 416.02

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Solution

The fourth proportional to 426.50, 638.49 and 416.02 is: 622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.50 : 638.49 = 416.02 : x
  2. Step 2: Convert to fraction form
    426.50/638.49 = 416.02/x
  3. Step 3: Cross multiply
    426.50x = 638.49 × 416.02
  4. Step 4: Simplify right side
    426.50x = 265,624.61
  5. Step 5: Solve for x
    x = 265,624.61/426.50
  6. Step 6: Final answer
    x = 622.80

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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.