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Finding the Fourth Proportional to 495.89, 743.49 and 252.25

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Solution

The fourth proportional to 495.89, 743.49 and 252.25 is: 378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.89 : 743.49 = 252.25 : x
  2. Step 2: Convert to fraction form
    495.89/743.49 = 252.25/x
  3. Step 3: Cross multiply
    495.89x = 743.49 × 252.25
  4. Step 4: Simplify right side
    495.89x = 187,543.49
  5. Step 5: Solve for x
    x = 187,543.49/495.89
  6. Step 6: Final answer
    x = 378.20

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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.