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Finding the Fourth Proportional to 455.65, 628.82 and 269.14

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Solution

The fourth proportional to 455.65, 628.82 and 269.14 is: 371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.65 : 628.82 = 269.14 : x
  2. Step 2: Convert to fraction form
    455.65/628.82 = 269.14/x
  3. Step 3: Cross multiply
    455.65x = 628.82 × 269.14
  4. Step 4: Simplify right side
    455.65x = 169,240.61
  5. Step 5: Solve for x
    x = 169,240.61/455.65
  6. Step 6: Final answer
    x = 371.43

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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.