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Finding the Fourth Proportional to 581.26, 871.72 and 252.19

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Solution

The fourth proportional to 581.26, 871.72 and 252.19 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.26 : 871.72 = 252.19 : x
  2. Step 2: Convert to fraction form
    581.26/871.72 = 252.19/x
  3. Step 3: Cross multiply
    581.26x = 871.72 × 252.19
  4. Step 4: Simplify right side
    581.26x = 219,838.85
  5. Step 5: Solve for x
    x = 219,838.85/581.26
  6. Step 6: Final answer
    x = 378.21

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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.