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Finding the Fourth Proportional to 568.57, 785.55 and 494.86

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Solution

The fourth proportional to 568.57, 785.55 and 494.86 is: 683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.57 : 785.55 = 494.86 : x
  2. Step 2: Convert to fraction form
    568.57/785.55 = 494.86/x
  3. Step 3: Cross multiply
    568.57x = 785.55 × 494.86
  4. Step 4: Simplify right side
    568.57x = 388,737.27
  5. Step 5: Solve for x
    x = 388,737.27/568.57
  6. Step 6: Final answer
    x = 683.71

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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.