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Finding the Fourth Proportional to 558.32, 837.41 and 233.78

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Solution

The fourth proportional to 558.32, 837.41 and 233.78 is: 350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.32 : 837.41 = 233.78 : x
  2. Step 2: Convert to fraction form
    558.32/837.41 = 233.78/x
  3. Step 3: Cross multiply
    558.32x = 837.41 × 233.78
  4. Step 4: Simplify right side
    558.32x = 195,764.35
  5. Step 5: Solve for x
    x = 195,764.35/558.32
  6. Step 6: Final answer
    x = 350.63

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