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Finding the Fourth Proportional to 558.45, 837.67 and 193.24

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Solution

The fourth proportional to 558.45, 837.67 and 193.24 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.45 : 837.67 = 193.24 : x
  2. Step 2: Convert to fraction form
    558.45/837.67 = 193.24/x
  3. Step 3: Cross multiply
    558.45x = 837.67 × 193.24
  4. Step 4: Simplify right side
    558.45x = 161,867.57
  5. Step 5: Solve for x
    x = 161,867.57/558.45
  6. Step 6: Final answer
    x = 289.85

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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.