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Finding the Fourth Proportional to 579.86, 868.83 and 374.25

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Solution

The fourth proportional to 579.86, 868.83 and 374.25 is: 560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.86 : 868.83 = 374.25 : x
  2. Step 2: Convert to fraction form
    579.86/868.83 = 374.25/x
  3. Step 3: Cross multiply
    579.86x = 868.83 × 374.25
  4. Step 4: Simplify right side
    579.86x = 325,154.15
  5. Step 5: Solve for x
    x = 325,154.15/579.86
  6. Step 6: Final answer
    x = 560.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.