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Finding the Fourth Proportional to 453.82, 626.26 and 257.36

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Solution

The fourth proportional to 453.82, 626.26 and 257.36 is: 355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.82 : 626.26 = 257.36 : x
  2. Step 2: Convert to fraction form
    453.82/626.26 = 257.36/x
  3. Step 3: Cross multiply
    453.82x = 626.26 × 257.36
  4. Step 4: Simplify right side
    453.82x = 161,174.27
  5. Step 5: Solve for x
    x = 161,174.27/453.82
  6. Step 6: Final answer
    x = 355.15

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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.