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Finding the Fourth Proportional to 453.49, 625.46 and 342.79

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Solution

The fourth proportional to 453.49, 625.46 and 342.79 is: 472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.49 : 625.46 = 342.79 : x
  2. Step 2: Convert to fraction form
    453.49/625.46 = 342.79/x
  3. Step 3: Cross multiply
    453.49x = 625.46 × 342.79
  4. Step 4: Simplify right side
    453.49x = 214,398.16
  5. Step 5: Solve for x
    x = 214,398.16/453.49
  6. Step 6: Final answer
    x = 472.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.