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Finding the Fourth Proportional to 534.23, 800.72 and 225.98

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Solution

The fourth proportional to 534.23, 800.72 and 225.98 is: 338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.23 : 800.72 = 225.98 : x
  2. Step 2: Convert to fraction form
    534.23/800.72 = 225.98/x
  3. Step 3: Cross multiply
    534.23x = 800.72 × 225.98
  4. Step 4: Simplify right side
    534.23x = 180,946.71
  5. Step 5: Solve for x
    x = 180,946.71/534.23
  6. Step 6: Final answer
    x = 338.71

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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.