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Finding the Fourth Proportional to 506.12, 754.97 and 457.48

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Solution

The fourth proportional to 506.12, 754.97 and 457.48 is: 682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 754.97 = 457.48 : x
  2. Step 2: Convert to fraction form
    506.12/754.97 = 457.48/x
  3. Step 3: Cross multiply
    506.12x = 754.97 × 457.48
  4. Step 4: Simplify right side
    506.12x = 345,383.68
  5. Step 5: Solve for x
    x = 345,383.68/506.12
  6. Step 6: Final answer
    x = 682.41

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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.