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Finding the Fourth Proportional to 580.68, 871.56 and 272.52

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Solution

The fourth proportional to 580.68, 871.56 and 272.52 is: 409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.68 : 871.56 = 272.52 : x
  2. Step 2: Convert to fraction form
    580.68/871.56 = 272.52/x
  3. Step 3: Cross multiply
    580.68x = 871.56 × 272.52
  4. Step 4: Simplify right side
    580.68x = 237,517.53
  5. Step 5: Solve for x
    x = 237,517.53/580.68
  6. Step 6: Final answer
    x = 409.03

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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.