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Finding the Fourth Proportional to 580.92, 871.40 and 272.77

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Solution

The fourth proportional to 580.92, 871.40 and 272.77 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 871.40 = 272.77 : x
  2. Step 2: Convert to fraction form
    580.92/871.40 = 272.77/x
  3. Step 3: Cross multiply
    580.92x = 871.40 × 272.77
  4. Step 4: Simplify right side
    580.92x = 237,691.78
  5. Step 5: Solve for x
    x = 237,691.78/580.92
  6. Step 6: Final answer
    x = 409.16

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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.