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Finding the Fourth Proportional to 416.05, 624.21 and 261.80

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Solution

The fourth proportional to 416.05, 624.21 and 261.80 is: 392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.05 : 624.21 = 261.80 : x
  2. Step 2: Convert to fraction form
    416.05/624.21 = 261.80/x
  3. Step 3: Cross multiply
    416.05x = 624.21 × 261.80
  4. Step 4: Simplify right side
    416.05x = 163,418.18
  5. Step 5: Solve for x
    x = 163,418.18/416.05
  6. Step 6: Final answer
    x = 392.78

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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.