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Finding the Fourth Proportional to 559.24, 771.77 and 310.58

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Solution

The fourth proportional to 559.24, 771.77 and 310.58 is: 428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.24 : 771.77 = 310.58 : x
  2. Step 2: Convert to fraction form
    559.24/771.77 = 310.58/x
  3. Step 3: Cross multiply
    559.24x = 771.77 × 310.58
  4. Step 4: Simplify right side
    559.24x = 239,697.44
  5. Step 5: Solve for x
    x = 239,697.44/559.24
  6. Step 6: Final answer
    x = 428.61

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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.