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Finding the Fourth Proportional to 407.38, 611.34 and 202.09

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Solution

The fourth proportional to 407.38, 611.34 and 202.09 is: 303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.38 : 611.34 = 202.09 : x
  2. Step 2: Convert to fraction form
    407.38/611.34 = 202.09/x
  3. Step 3: Cross multiply
    407.38x = 611.34 × 202.09
  4. Step 4: Simplify right side
    407.38x = 123,545.70
  5. Step 5: Solve for x
    x = 123,545.70/407.38
  6. Step 6: Final answer
    x = 303.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.