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Finding the Fourth Proportional to 486.52, 729.43 and 267.25

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Solution

The fourth proportional to 486.52, 729.43 and 267.25 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.52 : 729.43 = 267.25 : x
  2. Step 2: Convert to fraction form
    486.52/729.43 = 267.25/x
  3. Step 3: Cross multiply
    486.52x = 729.43 × 267.25
  4. Step 4: Simplify right side
    486.52x = 194,937.68
  5. Step 5: Solve for x
    x = 194,937.68/486.52
  6. Step 6: Final answer
    x = 400.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.