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Finding the Fourth Proportional to 494.62, 741.36 and 220.84

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Solution

The fourth proportional to 494.62, 741.36 and 220.84 is: 331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.62 : 741.36 = 220.84 : x
  2. Step 2: Convert to fraction form
    494.62/741.36 = 220.84/x
  3. Step 3: Cross multiply
    494.62x = 741.36 × 220.84
  4. Step 4: Simplify right side
    494.62x = 163,721.94
  5. Step 5: Solve for x
    x = 163,721.94/494.62
  6. Step 6: Final answer
    x = 331.01

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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.