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Finding the Fourth Proportional to 455.77, 628.99 and 269.27

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Solution

The fourth proportional to 455.77, 628.99 and 269.27 is: 371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.77 : 628.99 = 269.27 : x
  2. Step 2: Convert to fraction form
    455.77/628.99 = 269.27/x
  3. Step 3: Cross multiply
    455.77x = 628.99 × 269.27
  4. Step 4: Simplify right side
    455.77x = 169,370.97
  5. Step 5: Solve for x
    x = 169,370.97/455.77
  6. Step 6: Final answer
    x = 371.62

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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.