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Finding the Fourth Proportional to 453.87, 626.86 and 306.25

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Solution

The fourth proportional to 453.87, 626.86 and 306.25 is: 422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.87 : 626.86 = 306.25 : x
  2. Step 2: Convert to fraction form
    453.87/626.86 = 306.25/x
  3. Step 3: Cross multiply
    453.87x = 626.86 × 306.25
  4. Step 4: Simplify right side
    453.87x = 191,974.34
  5. Step 5: Solve for x
    x = 191,974.34/453.87
  6. Step 6: Final answer
    x = 422.97

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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.