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Finding the Fourth Proportional to 331.96, 457.86 and 277.24

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Solution

The fourth proportional to 331.96, 457.86 and 277.24 is: 382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.96 : 457.86 = 277.24 : x
  2. Step 2: Convert to fraction form
    331.96/457.86 = 277.24/x
  3. Step 3: Cross multiply
    331.96x = 457.86 × 277.24
  4. Step 4: Simplify right side
    331.96x = 126,937.11
  5. Step 5: Solve for x
    x = 126,937.11/331.96
  6. Step 6: Final answer
    x = 382.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.