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Finding the Fourth Proportional to 364.80, 545.02 and 226.75

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Solution

The fourth proportional to 364.80, 545.02 and 226.75 is: 338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 545.02 = 226.75 : x
  2. Step 2: Convert to fraction form
    364.80/545.02 = 226.75/x
  3. Step 3: Cross multiply
    364.80x = 545.02 × 226.75
  4. Step 4: Simplify right side
    364.80x = 123,583.29
  5. Step 5: Solve for x
    x = 123,583.29/364.80
  6. Step 6: Final answer
    x = 338.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.