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Finding the Fourth Proportional to 331.85, 497.93 and 229.79

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Solution

The fourth proportional to 331.85, 497.93 and 229.79 is: 344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.85 : 497.93 = 229.79 : x
  2. Step 2: Convert to fraction form
    331.85/497.93 = 229.79/x
  3. Step 3: Cross multiply
    331.85x = 497.93 × 229.79
  4. Step 4: Simplify right side
    331.85x = 114,419.33
  5. Step 5: Solve for x
    x = 114,419.33/331.85
  6. Step 6: Final answer
    x = 344.79

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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.