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Finding the Fourth Proportional to 494.64, 741.96 and 205.74

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Solution

The fourth proportional to 494.64, 741.96 and 205.74 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 741.96 = 205.74 : x
  2. Step 2: Convert to fraction form
    494.64/741.96 = 205.74/x
  3. Step 3: Cross multiply
    494.64x = 741.96 × 205.74
  4. Step 4: Simplify right side
    494.64x = 152,650.85
  5. Step 5: Solve for x
    x = 152,650.85/494.64
  6. Step 6: Final answer
    x = 308.61

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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.