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Finding the Fourth Proportional to 534.67, 802.20 and 226.78

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Solution

The fourth proportional to 534.67, 802.20 and 226.78 is: 340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.67 : 802.20 = 226.78 : x
  2. Step 2: Convert to fraction form
    534.67/802.20 = 226.78/x
  3. Step 3: Cross multiply
    534.67x = 802.20 × 226.78
  4. Step 4: Simplify right side
    534.67x = 181,922.92
  5. Step 5: Solve for x
    x = 181,922.92/534.67
  6. Step 6: Final answer
    x = 340.25

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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.