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Finding the Fourth Proportional to 579.46, 869.63 and 464.92

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Solution

The fourth proportional to 579.46, 869.63 and 464.92 is: 697.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.46 : 869.63 = 464.92 : x
  2. Step 2: Convert to fraction form
    579.46/869.63 = 464.92/x
  3. Step 3: Cross multiply
    579.46x = 869.63 × 464.92
  4. Step 4: Simplify right side
    579.46x = 404,308.38
  5. Step 5: Solve for x
    x = 404,308.38/579.46
  6. Step 6: Final answer
    x = 697.73

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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.