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Finding the Fourth Proportional to 588.96, 813.11 and 412.04

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Solution

The fourth proportional to 588.96, 813.11 and 412.04 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 813.11 = 412.04 : x
  2. Step 2: Convert to fraction form
    588.96/813.11 = 412.04/x
  3. Step 3: Cross multiply
    588.96x = 813.11 × 412.04
  4. Step 4: Simplify right side
    588.96x = 335,027.72
  5. Step 5: Solve for x
    x = 335,027.72/588.96
  6. Step 6: Final answer
    x = 568.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.