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Finding the Fourth Proportional to 559.34, 771.86 and 310.65

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Solution

The fourth proportional to 559.34, 771.86 and 310.65 is: 428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.34 : 771.86 = 310.65 : x
  2. Step 2: Convert to fraction form
    559.34/771.86 = 310.65/x
  3. Step 3: Cross multiply
    559.34x = 771.86 × 310.65
  4. Step 4: Simplify right side
    559.34x = 239,778.31
  5. Step 5: Solve for x
    x = 239,778.31/559.34
  6. Step 6: Final answer
    x = 428.68

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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.