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Finding the Fourth Proportional to 454.48, 627.16 and 267.98

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Solution

The fourth proportional to 454.48, 627.16 and 267.98 is: 369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.48 : 627.16 = 267.98 : x
  2. Step 2: Convert to fraction form
    454.48/627.16 = 267.98/x
  3. Step 3: Cross multiply
    454.48x = 627.16 × 267.98
  4. Step 4: Simplify right side
    454.48x = 168,063.54
  5. Step 5: Solve for x
    x = 168,063.54/454.48
  6. Step 6: Final answer
    x = 369.80

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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.