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Finding the Fourth Proportional to 558.38, 836.85 and 376.94

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Solution

The fourth proportional to 558.38, 836.85 and 376.94 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.38 : 836.85 = 376.94 : x
  2. Step 2: Convert to fraction form
    558.38/836.85 = 376.94/x
  3. Step 3: Cross multiply
    558.38x = 836.85 × 376.94
  4. Step 4: Simplify right side
    558.38x = 315,438.05
  5. Step 5: Solve for x
    x = 315,438.05/558.38
  6. Step 6: Final answer
    x = 564.92

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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.