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Finding the Fourth Proportional to 534.03, 800.27 and 225.71

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Solution

The fourth proportional to 534.03, 800.27 and 225.71 is: 338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.03 : 800.27 = 225.71 : x
  2. Step 2: Convert to fraction form
    534.03/800.27 = 225.71/x
  3. Step 3: Cross multiply
    534.03x = 800.27 × 225.71
  4. Step 4: Simplify right side
    534.03x = 180,627.81
  5. Step 5: Solve for x
    x = 180,627.81/534.03
  6. Step 6: Final answer
    x = 338.24

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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.