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Finding the Fourth Proportional to 454.45, 627.10 and 267.94

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Solution

The fourth proportional to 454.45, 627.10 and 267.94 is: 369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.45 : 627.10 = 267.94 : x
  2. Step 2: Convert to fraction form
    454.45/627.10 = 267.94/x
  3. Step 3: Cross multiply
    454.45x = 627.10 × 267.94
  4. Step 4: Simplify right side
    454.45x = 168,025.17
  5. Step 5: Solve for x
    x = 168,025.17/454.45
  6. Step 6: Final answer
    x = 369.73

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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.