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Finding the Fourth Proportional to 455.43, 627.96 and 280.62

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Solution

The fourth proportional to 455.43, 627.96 and 280.62 is: 386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.43 : 627.96 = 280.62 : x
  2. Step 2: Convert to fraction form
    455.43/627.96 = 280.62/x
  3. Step 3: Cross multiply
    455.43x = 627.96 × 280.62
  4. Step 4: Simplify right side
    455.43x = 176,218.14
  5. Step 5: Solve for x
    x = 176,218.14/455.43
  6. Step 6: Final answer
    x = 386.93

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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.