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Finding the Fourth Proportional to 496.10, 683.96 and 411.86

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Solution

The fourth proportional to 496.10, 683.96 and 411.86 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.10 : 683.96 = 411.86 : x
  2. Step 2: Convert to fraction form
    496.10/683.96 = 411.86/x
  3. Step 3: Cross multiply
    496.10x = 683.96 × 411.86
  4. Step 4: Simplify right side
    496.10x = 281,695.77
  5. Step 5: Solve for x
    x = 281,695.77/496.10
  6. Step 6: Final answer
    x = 567.82

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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.