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Finding the Fourth Proportional to 401.86, 551.89 and 336.25

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Solution

The fourth proportional to 401.86, 551.89 and 336.25 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.86 : 551.89 = 336.25 : x
  2. Step 2: Convert to fraction form
    401.86/551.89 = 336.25/x
  3. Step 3: Cross multiply
    401.86x = 551.89 × 336.25
  4. Step 4: Simplify right side
    401.86x = 185,570.25
  5. Step 5: Solve for x
    x = 185,570.25/401.86
  6. Step 6: Final answer
    x = 461.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.