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Finding the Fourth Proportional to 455.97, 629.45 and 298.61

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Solution

The fourth proportional to 455.97, 629.45 and 298.61 is: 412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.97 : 629.45 = 298.61 : x
  2. Step 2: Convert to fraction form
    455.97/629.45 = 298.61/x
  3. Step 3: Cross multiply
    455.97x = 629.45 × 298.61
  4. Step 4: Simplify right side
    455.97x = 187,962.38
  5. Step 5: Solve for x
    x = 187,962.38/455.97
  6. Step 6: Final answer
    x = 412.22

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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.