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Finding the Fourth Proportional to 406.38, 608.34 and 261.80

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Solution

The fourth proportional to 406.38, 608.34 and 261.80 is: 391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.38 : 608.34 = 261.80 : x
  2. Step 2: Convert to fraction form
    406.38/608.34 = 261.80/x
  3. Step 3: Cross multiply
    406.38x = 608.34 × 261.80
  4. Step 4: Simplify right side
    406.38x = 159,263.41
  5. Step 5: Solve for x
    x = 159,263.41/406.38
  6. Step 6: Final answer
    x = 391.91

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