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Finding the Fourth Proportional to 454.82, 627.82 and 406.22

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Solution

The fourth proportional to 454.82, 627.82 and 406.22 is: 560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.82 : 627.82 = 406.22 : x
  2. Step 2: Convert to fraction form
    454.82/627.82 = 406.22/x
  3. Step 3: Cross multiply
    454.82x = 627.82 × 406.22
  4. Step 4: Simplify right side
    454.82x = 255,028.89
  5. Step 5: Solve for x
    x = 255,028.89/454.82
  6. Step 6: Final answer
    x = 560.73

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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.