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Finding the Fourth Proportional to 534.11, 800.57 and 225.87

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Solution

The fourth proportional to 534.11, 800.57 and 225.87 is: 338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.11 : 800.57 = 225.87 : x
  2. Step 2: Convert to fraction form
    534.11/800.57 = 225.87/x
  3. Step 3: Cross multiply
    534.11x = 800.57 × 225.87
  4. Step 4: Simplify right side
    534.11x = 180,824.75
  5. Step 5: Solve for x
    x = 180,824.75/534.11
  6. Step 6: Final answer
    x = 338.55

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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.