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Finding the Fourth Proportional to 494.07, 741.28 and 220.14

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Solution

The fourth proportional to 494.07, 741.28 and 220.14 is: 330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.07 : 741.28 = 220.14 : x
  2. Step 2: Convert to fraction form
    494.07/741.28 = 220.14/x
  3. Step 3: Cross multiply
    494.07x = 741.28 × 220.14
  4. Step 4: Simplify right side
    494.07x = 163,185.38
  5. Step 5: Solve for x
    x = 163,185.38/494.07
  6. Step 6: Final answer
    x = 330.29

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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.