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Finding the Fourth Proportional to 579.88, 869.92 and 305.71

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Solution

The fourth proportional to 579.88, 869.92 and 305.71 is: 458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.88 : 869.92 = 305.71 : x
  2. Step 2: Convert to fraction form
    579.88/869.92 = 305.71/x
  3. Step 3: Cross multiply
    579.88x = 869.92 × 305.71
  4. Step 4: Simplify right side
    579.88x = 265,942.02
  5. Step 5: Solve for x
    x = 265,942.02/579.88
  6. Step 6: Final answer
    x = 458.62

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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.