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Finding the Fourth Proportional to 558.25, 836.92 and 233.85

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Solution

The fourth proportional to 558.25, 836.92 and 233.85 is: 350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.25 : 836.92 = 233.85 : x
  2. Step 2: Convert to fraction form
    558.25/836.92 = 233.85/x
  3. Step 3: Cross multiply
    558.25x = 836.92 × 233.85
  4. Step 4: Simplify right side
    558.25x = 195,713.74
  5. Step 5: Solve for x
    x = 195,713.74/558.25
  6. Step 6: Final answer
    x = 350.58

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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.