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Finding the Fourth Proportional to 559.10, 771.66 and 419.92

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Solution

The fourth proportional to 559.10, 771.66 and 419.92 is: 579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.10 : 771.66 = 419.92 : x
  2. Step 2: Convert to fraction form
    559.10/771.66 = 419.92/x
  3. Step 3: Cross multiply
    559.10x = 771.66 × 419.92
  4. Step 4: Simplify right side
    559.10x = 324,033.54
  5. Step 5: Solve for x
    x = 324,033.54/559.10
  6. Step 6: Final answer
    x = 579.56

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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.