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Finding the Fourth Proportional to 362.59, 544.43 and 226.49

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Solution

The fourth proportional to 362.59, 544.43 and 226.49 is: 340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.59 : 544.43 = 226.49 : x
  2. Step 2: Convert to fraction form
    362.59/544.43 = 226.49/x
  3. Step 3: Cross multiply
    362.59x = 544.43 × 226.49
  4. Step 4: Simplify right side
    362.59x = 123,306.59
  5. Step 5: Solve for x
    x = 123,306.59/362.59
  6. Step 6: Final answer
    x = 340.08

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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.