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Finding the Fourth Proportional to 455.63, 628.63 and 269.14

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Solution

The fourth proportional to 455.63, 628.63 and 269.14 is: 371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.63 : 628.63 = 269.14 : x
  2. Step 2: Convert to fraction form
    455.63/628.63 = 269.14/x
  3. Step 3: Cross multiply
    455.63x = 628.63 × 269.14
  4. Step 4: Simplify right side
    455.63x = 169,189.48
  5. Step 5: Solve for x
    x = 169,189.48/455.63
  6. Step 6: Final answer
    x = 371.33

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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.