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Finding the Fourth Proportional to 522.27, 781.79 and 378.09

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Solution

The fourth proportional to 522.27, 781.79 and 378.09 is: 565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.27 : 781.79 = 378.09 : x
  2. Step 2: Convert to fraction form
    522.27/781.79 = 378.09/x
  3. Step 3: Cross multiply
    522.27x = 781.79 × 378.09
  4. Step 4: Simplify right side
    522.27x = 295,585.09
  5. Step 5: Solve for x
    x = 295,585.09/522.27
  6. Step 6: Final answer
    x = 565.96

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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.