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Finding the Fourth Proportional to 558.34, 837.40 and 193.05

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Solution

The fourth proportional to 558.34, 837.40 and 193.05 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.34 : 837.40 = 193.05 : x
  2. Step 2: Convert to fraction form
    558.34/837.40 = 193.05/x
  3. Step 3: Cross multiply
    558.34x = 837.40 × 193.05
  4. Step 4: Simplify right side
    558.34x = 161,659.95
  5. Step 5: Solve for x
    x = 161,659.95/558.34
  6. Step 6: Final answer
    x = 289.54

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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.