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Finding the Fourth Proportional to 494.01, 741.02 and 205.38

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Solution

The fourth proportional to 494.01, 741.02 and 205.38 is: 308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.01 : 741.02 = 205.38 : x
  2. Step 2: Convert to fraction form
    494.01/741.02 = 205.38/x
  3. Step 3: Cross multiply
    494.01x = 741.02 × 205.38
  4. Step 4: Simplify right side
    494.01x = 152,189.66
  5. Step 5: Solve for x
    x = 152,189.66/494.01
  6. Step 6: Final answer
    x = 308.07

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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.