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Finding the Fourth Proportional to 579.82, 868.02 and 374.08

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Solution

The fourth proportional to 579.82, 868.02 and 374.08 is: 560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.82 : 868.02 = 374.08 : x
  2. Step 2: Convert to fraction form
    579.82/868.02 = 374.08/x
  3. Step 3: Cross multiply
    579.82x = 868.02 × 374.08
  4. Step 4: Simplify right side
    579.82x = 324,708.92
  5. Step 5: Solve for x
    x = 324,708.92/579.82
  6. Step 6: Final answer
    x = 560.02

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