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Finding the Fourth Proportional to 496.63, 741.20 and 441.14

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Solution

The fourth proportional to 496.63, 741.20 and 441.14 is: 658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.63 : 741.20 = 441.14 : x
  2. Step 2: Convert to fraction form
    496.63/741.20 = 441.14/x
  3. Step 3: Cross multiply
    496.63x = 741.20 × 441.14
  4. Step 4: Simplify right side
    496.63x = 326,972.97
  5. Step 5: Solve for x
    x = 326,972.97/496.63
  6. Step 6: Final answer
    x = 658.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.