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Finding the Fourth Proportional to 534.83, 801.63 and 226.49

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Solution

The fourth proportional to 534.83, 801.63 and 226.49 is: 339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.83 : 801.63 = 226.49 : x
  2. Step 2: Convert to fraction form
    534.83/801.63 = 226.49/x
  3. Step 3: Cross multiply
    534.83x = 801.63 × 226.49
  4. Step 4: Simplify right side
    534.83x = 181,559.74
  5. Step 5: Solve for x
    x = 181,559.74/534.83
  6. Step 6: Final answer
    x = 339.47

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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.