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Finding the Fourth Proportional to 382.35, 527.31 and 278.13

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Solution

The fourth proportional to 382.35, 527.31 and 278.13 is: 383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.35 : 527.31 = 278.13 : x
  2. Step 2: Convert to fraction form
    382.35/527.31 = 278.13/x
  3. Step 3: Cross multiply
    382.35x = 527.31 × 278.13
  4. Step 4: Simplify right side
    382.35x = 146,660.73
  5. Step 5: Solve for x
    x = 146,660.73/382.35
  6. Step 6: Final answer
    x = 383.58

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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.