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Finding the Fourth Proportional to 494.24, 741.32 and 205.47

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Solution

The fourth proportional to 494.24, 741.32 and 205.47 is: 308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.24 : 741.32 = 205.47 : x
  2. Step 2: Convert to fraction form
    494.24/741.32 = 205.47/x
  3. Step 3: Cross multiply
    494.24x = 741.32 × 205.47
  4. Step 4: Simplify right side
    494.24x = 152,318.76
  5. Step 5: Solve for x
    x = 152,318.76/494.24
  6. Step 6: Final answer
    x = 308.19

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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.