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Finding the Fourth Proportional to 534.71, 801.55 and 226.82

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Solution

The fourth proportional to 534.71, 801.55 and 226.82 is: 340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 801.55 = 226.82 : x
  2. Step 2: Convert to fraction form
    534.71/801.55 = 226.82/x
  3. Step 3: Cross multiply
    534.71x = 801.55 × 226.82
  4. Step 4: Simplify right side
    534.71x = 181,807.57
  5. Step 5: Solve for x
    x = 181,807.57/534.71
  6. Step 6: Final answer
    x = 340.01

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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.