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Finding the Fourth Proportional to 580.59, 870.96 and 169.73

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Solution

The fourth proportional to 580.59, 870.96 and 169.73 is: 254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.59 : 870.96 = 169.73 : x
  2. Step 2: Convert to fraction form
    580.59/870.96 = 169.73/x
  3. Step 3: Cross multiply
    580.59x = 870.96 × 169.73
  4. Step 4: Simplify right side
    580.59x = 147,827.59
  5. Step 5: Solve for x
    x = 147,827.59/580.59
  6. Step 6: Final answer
    x = 254.62

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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.