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Finding the Fourth Proportional to 592.11, 816.83 and 405.86

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Solution

The fourth proportional to 592.11, 816.83 and 405.86 is: 559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.11 : 816.83 = 405.86 : x
  2. Step 2: Convert to fraction form
    592.11/816.83 = 405.86/x
  3. Step 3: Cross multiply
    592.11x = 816.83 × 405.86
  4. Step 4: Simplify right side
    592.11x = 331,520.91
  5. Step 5: Solve for x
    x = 331,520.91/592.11
  6. Step 6: Final answer
    x = 559.90

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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.