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Finding the Fourth Proportional to 559.48, 772.10 and 310.84

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Solution

The fourth proportional to 559.48, 772.10 and 310.84 is: 428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.48 : 772.10 = 310.84 : x
  2. Step 2: Convert to fraction form
    559.48/772.10 = 310.84/x
  3. Step 3: Cross multiply
    559.48x = 772.10 × 310.84
  4. Step 4: Simplify right side
    559.48x = 239,999.56
  5. Step 5: Solve for x
    x = 239,999.56/559.48
  6. Step 6: Final answer
    x = 428.97

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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.