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Finding the Fourth Proportional to 558.31, 837.79 and 311.72

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Solution

The fourth proportional to 558.31, 837.79 and 311.72 is: 467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.31 : 837.79 = 311.72 : x
  2. Step 2: Convert to fraction form
    558.31/837.79 = 311.72/x
  3. Step 3: Cross multiply
    558.31x = 837.79 × 311.72
  4. Step 4: Simplify right side
    558.31x = 261,155.90
  5. Step 5: Solve for x
    x = 261,155.90/558.31
  6. Step 6: Final answer
    x = 467.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.