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Finding the Fourth Proportional to 455.44, 628.42 and 268.92

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Solution

The fourth proportional to 455.44, 628.42 and 268.92 is: 371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.44 : 628.42 = 268.92 : x
  2. Step 2: Convert to fraction form
    455.44/628.42 = 268.92/x
  3. Step 3: Cross multiply
    455.44x = 628.42 × 268.92
  4. Step 4: Simplify right side
    455.44x = 168,994.71
  5. Step 5: Solve for x
    x = 168,994.71/455.44
  6. Step 6: Final answer
    x = 371.06

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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.