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Finding the Fourth Proportional to 580.76, 871.01 and 272.83

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Solution

The fourth proportional to 580.76, 871.01 and 272.83 is: 409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.76 : 871.01 = 272.83 : x
  2. Step 2: Convert to fraction form
    580.76/871.01 = 272.83/x
  3. Step 3: Cross multiply
    580.76x = 871.01 × 272.83
  4. Step 4: Simplify right side
    580.76x = 237,631.94
  5. Step 5: Solve for x
    x = 237,631.94/580.76
  6. Step 6: Final answer
    x = 409.17

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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.