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Finding the Fourth Proportional to 558.45, 838.03 and 393.82

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Solution

The fourth proportional to 558.45, 838.03 and 393.82 is: 590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.45 : 838.03 = 393.82 : x
  2. Step 2: Convert to fraction form
    558.45/838.03 = 393.82/x
  3. Step 3: Cross multiply
    558.45x = 838.03 × 393.82
  4. Step 4: Simplify right side
    558.45x = 330,027.80
  5. Step 5: Solve for x
    x = 330,027.80/558.45
  6. Step 6: Final answer
    x = 590.97

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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.