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Finding the Fourth Proportional to 495.20, 743.90 and 414.20

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Solution

The fourth proportional to 495.20, 743.90 and 414.20 is: 622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.20 : 743.90 = 414.20 : x
  2. Step 2: Convert to fraction form
    495.20/743.90 = 414.20/x
  3. Step 3: Cross multiply
    495.20x = 743.90 × 414.20
  4. Step 4: Simplify right side
    495.20x = 308,123.38
  5. Step 5: Solve for x
    x = 308,123.38/495.20
  6. Step 6: Final answer
    x = 622.22

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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.