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Finding the Fourth Proportional to 463.89, 640.14 and 267.36

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Solution

The fourth proportional to 463.89, 640.14 and 267.36 is: 368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.89 : 640.14 = 267.36 : x
  2. Step 2: Convert to fraction form
    463.89/640.14 = 267.36/x
  3. Step 3: Cross multiply
    463.89x = 640.14 × 267.36
  4. Step 4: Simplify right side
    463.89x = 171,147.83
  5. Step 5: Solve for x
    x = 171,147.83/463.89
  6. Step 6: Final answer
    x = 368.94

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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.