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Finding the Fourth Proportional to 534.19, 801.24 and 225.88

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Solution

The fourth proportional to 534.19, 801.24 and 225.88 is: 338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.19 : 801.24 = 225.88 : x
  2. Step 2: Convert to fraction form
    534.19/801.24 = 225.88/x
  3. Step 3: Cross multiply
    534.19x = 801.24 × 225.88
  4. Step 4: Simplify right side
    534.19x = 180,984.09
  5. Step 5: Solve for x
    x = 180,984.09/534.19
  6. Step 6: Final answer
    x = 338.80

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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.