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Finding the Fourth Proportional to 558.54, 837.91 and 193.23

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Solution

The fourth proportional to 558.54, 837.91 and 193.23 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.54 : 837.91 = 193.23 : x
  2. Step 2: Convert to fraction form
    558.54/837.91 = 193.23/x
  3. Step 3: Cross multiply
    558.54x = 837.91 × 193.23
  4. Step 4: Simplify right side
    558.54x = 161,909.59
  5. Step 5: Solve for x
    x = 161,909.59/558.54
  6. Step 6: Final answer
    x = 289.88

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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.