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Finding the Fourth Proportional to 559.87, 839.16 and 411.41

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Solution

The fourth proportional to 559.87, 839.16 and 411.41 is: 616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.87 : 839.16 = 411.41 : x
  2. Step 2: Convert to fraction form
    559.87/839.16 = 411.41/x
  3. Step 3: Cross multiply
    559.87x = 839.16 × 411.41
  4. Step 4: Simplify right side
    559.87x = 345,238.82
  5. Step 5: Solve for x
    x = 345,238.82/559.87
  6. Step 6: Final answer
    x = 616.64

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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.