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Finding the Fourth Proportional to 559.23, 771.78 and 310.56

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Solution

The fourth proportional to 559.23, 771.78 and 310.56 is: 428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.23 : 771.78 = 310.56 : x
  2. Step 2: Convert to fraction form
    559.23/771.78 = 310.56/x
  3. Step 3: Cross multiply
    559.23x = 771.78 × 310.56
  4. Step 4: Simplify right side
    559.23x = 239,679.26
  5. Step 5: Solve for x
    x = 239,679.26/559.23
  6. Step 6: Final answer
    x = 428.59

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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.