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Finding the Fourth Proportional to 463.78, 640.09 and 267.26

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Solution

The fourth proportional to 463.78, 640.09 and 267.26 is: 368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.78 : 640.09 = 267.26 : x
  2. Step 2: Convert to fraction form
    463.78/640.09 = 267.26/x
  3. Step 3: Cross multiply
    463.78x = 640.09 × 267.26
  4. Step 4: Simplify right side
    463.78x = 171,070.45
  5. Step 5: Solve for x
    x = 171,070.45/463.78
  6. Step 6: Final answer
    x = 368.86

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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.