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Finding the Fourth Proportional to 381.83, 527.15 and 277.25

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Solution

The fourth proportional to 381.83, 527.15 and 277.25 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.83 : 527.15 = 277.25 : x
  2. Step 2: Convert to fraction form
    381.83/527.15 = 277.25/x
  3. Step 3: Cross multiply
    381.83x = 527.15 × 277.25
  4. Step 4: Simplify right side
    381.83x = 146,150.39
  5. Step 5: Solve for x
    x = 146,150.39/381.83
  6. Step 6: Final answer
    x = 382.77

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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.