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Finding the Fourth Proportional to 565.20, 779.27 and 486.36

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Solution

The fourth proportional to 565.20, 779.27 and 486.36 is: 670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 779.27 = 486.36 : x
  2. Step 2: Convert to fraction form
    565.20/779.27 = 486.36/x
  3. Step 3: Cross multiply
    565.20x = 779.27 × 486.36
  4. Step 4: Simplify right side
    565.20x = 379,003.33
  5. Step 5: Solve for x
    x = 379,003.33/565.20
  6. Step 6: Final answer
    x = 670.56

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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.