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Finding the Fourth Proportional to 455.69, 628.76 and 269.09

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Solution

The fourth proportional to 455.69, 628.76 and 269.09 is: 371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.69 : 628.76 = 269.09 : x
  2. Step 2: Convert to fraction form
    455.69/628.76 = 269.09/x
  3. Step 3: Cross multiply
    455.69x = 628.76 × 269.09
  4. Step 4: Simplify right side
    455.69x = 169,192.92
  5. Step 5: Solve for x
    x = 169,192.92/455.69
  6. Step 6: Final answer
    x = 371.29

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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.