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Finding the Fourth Proportional to 429.30, 644.09 and 267.10

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Solution

The fourth proportional to 429.30, 644.09 and 267.10 is: 400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.30 : 644.09 = 267.10 : x
  2. Step 2: Convert to fraction form
    429.30/644.09 = 267.10/x
  3. Step 3: Cross multiply
    429.30x = 644.09 × 267.10
  4. Step 4: Simplify right side
    429.30x = 172,033.49
  5. Step 5: Solve for x
    x = 172,033.49/429.30
  6. Step 6: Final answer
    x = 400.73

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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.