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Finding the Fourth Proportional to 534.25, 801.41 and 226.06

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Solution

The fourth proportional to 534.25, 801.41 and 226.06 is: 339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.25 : 801.41 = 226.06 : x
  2. Step 2: Convert to fraction form
    534.25/801.41 = 226.06/x
  3. Step 3: Cross multiply
    534.25x = 801.41 × 226.06
  4. Step 4: Simplify right side
    534.25x = 181,163.61
  5. Step 5: Solve for x
    x = 181,163.61/534.25
  6. Step 6: Final answer
    x = 339.10

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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.