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Finding the Fourth Proportional to 381.70, 527.07 and 288.55

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Solution

The fourth proportional to 381.70, 527.07 and 288.55 is: 398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.70 : 527.07 = 288.55 : x
  2. Step 2: Convert to fraction form
    381.70/527.07 = 288.55/x
  3. Step 3: Cross multiply
    381.70x = 527.07 × 288.55
  4. Step 4: Simplify right side
    381.70x = 152,086.05
  5. Step 5: Solve for x
    x = 152,086.05/381.70
  6. Step 6: Final answer
    x = 398.44

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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.