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Finding the Fourth Proportional to 565.43, 779.85 and 378.86

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Solution

The fourth proportional to 565.43, 779.85 and 378.86 is: 522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.43 : 779.85 = 378.86 : x
  2. Step 2: Convert to fraction form
    565.43/779.85 = 378.86/x
  3. Step 3: Cross multiply
    565.43x = 779.85 × 378.86
  4. Step 4: Simplify right side
    565.43x = 295,453.97
  5. Step 5: Solve for x
    x = 295,453.97/565.43
  6. Step 6: Final answer
    x = 522.53

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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.