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Finding the Fourth Proportional to 331.93, 497.76 and 216.55

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Solution

The fourth proportional to 331.93, 497.76 and 216.55 is: 324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.93 : 497.76 = 216.55 : x
  2. Step 2: Convert to fraction form
    331.93/497.76 = 216.55/x
  3. Step 3: Cross multiply
    331.93x = 497.76 × 216.55
  4. Step 4: Simplify right side
    331.93x = 107,789.93
  5. Step 5: Solve for x
    x = 107,789.93/331.93
  6. Step 6: Final answer
    x = 324.74

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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.