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Finding the Fourth Proportional to 494.32, 741.46 and 205.68

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Solution

The fourth proportional to 494.32, 741.46 and 205.68 is: 308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.32 : 741.46 = 205.68 : x
  2. Step 2: Convert to fraction form
    494.32/741.46 = 205.68/x
  3. Step 3: Cross multiply
    494.32x = 741.46 × 205.68
  4. Step 4: Simplify right side
    494.32x = 152,503.49
  5. Step 5: Solve for x
    x = 152,503.49/494.32
  6. Step 6: Final answer
    x = 308.51

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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.