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Finding the Fourth Proportional to 365.82, 551.18 and 331.16

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Solution

The fourth proportional to 365.82, 551.18 and 331.16 is: 498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.82 : 551.18 = 331.16 : x
  2. Step 2: Convert to fraction form
    365.82/551.18 = 331.16/x
  3. Step 3: Cross multiply
    365.82x = 551.18 × 331.16
  4. Step 4: Simplify right side
    365.82x = 182,524.36
  5. Step 5: Solve for x
    x = 182,524.36/365.82
  6. Step 6: Final answer
    x = 498.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.