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Finding the Fourth Proportional to 454.34, 626.77 and 267.84

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Solution

The fourth proportional to 454.34, 626.77 and 267.84 is: 369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.34 : 626.77 = 267.84 : x
  2. Step 2: Convert to fraction form
    454.34/626.77 = 267.84/x
  3. Step 3: Cross multiply
    454.34x = 626.77 × 267.84
  4. Step 4: Simplify right side
    454.34x = 167,874.08
  5. Step 5: Solve for x
    x = 167,874.08/454.34
  6. Step 6: Final answer
    x = 369.49

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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.