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Finding the Fourth Proportional to 453.77, 625.97 and 306.15

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Solution

The fourth proportional to 453.77, 625.97 and 306.15 is: 422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.77 : 625.97 = 306.15 : x
  2. Step 2: Convert to fraction form
    453.77/625.97 = 306.15/x
  3. Step 3: Cross multiply
    453.77x = 625.97 × 306.15
  4. Step 4: Simplify right side
    453.77x = 191,640.72
  5. Step 5: Solve for x
    x = 191,640.72/453.77
  6. Step 6: Final answer
    x = 422.33

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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.