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Finding the Fourth Proportional to 580.82, 871.12 and 210.54

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Solution

The fourth proportional to 580.82, 871.12 and 210.54 is: 315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.82 : 871.12 = 210.54 : x
  2. Step 2: Convert to fraction form
    580.82/871.12 = 210.54/x
  3. Step 3: Cross multiply
    580.82x = 871.12 × 210.54
  4. Step 4: Simplify right side
    580.82x = 183,409.13
  5. Step 5: Solve for x
    x = 183,409.13/580.82
  6. Step 6: Final answer
    x = 315.78

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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.