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Finding the Fourth Proportional to 558.99, 771.42 and 310.31

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Solution

The fourth proportional to 558.99, 771.42 and 310.31 is: 428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.99 : 771.42 = 310.31 : x
  2. Step 2: Convert to fraction form
    558.99/771.42 = 310.31/x
  3. Step 3: Cross multiply
    558.99x = 771.42 × 310.31
  4. Step 4: Simplify right side
    558.99x = 239,375.48
  5. Step 5: Solve for x
    x = 239,375.48/558.99
  6. Step 6: Final answer
    x = 428.23

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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.