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Finding the Fourth Proportional to 407.27, 610.31 and 201.62

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Solution

The fourth proportional to 407.27, 610.31 and 201.62 is: 302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.27 : 610.31 = 201.62 : x
  2. Step 2: Convert to fraction form
    407.27/610.31 = 201.62/x
  3. Step 3: Cross multiply
    407.27x = 610.31 × 201.62
  4. Step 4: Simplify right side
    407.27x = 123,046.64
  5. Step 5: Solve for x
    x = 123,046.64/407.27
  6. Step 6: Final answer
    x = 302.13

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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.