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Finding the Fourth Proportional to 581.50, 871.97 and 225.47

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Solution

The fourth proportional to 581.50, 871.97 and 225.47 is: 338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.50 : 871.97 = 225.47 : x
  2. Step 2: Convert to fraction form
    581.50/871.97 = 225.47/x
  3. Step 3: Cross multiply
    581.50x = 871.97 × 225.47
  4. Step 4: Simplify right side
    581.50x = 196,604.84
  5. Step 5: Solve for x
    x = 196,604.84/581.50
  6. Step 6: Final answer
    x = 338.10

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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.