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Finding the Fourth Proportional to 463.54, 639.69 and 267.07

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Solution

The fourth proportional to 463.54, 639.69 and 267.07 is: 368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.54 : 639.69 = 267.07 : x
  2. Step 2: Convert to fraction form
    463.54/639.69 = 267.07/x
  3. Step 3: Cross multiply
    463.54x = 639.69 × 267.07
  4. Step 4: Simplify right side
    463.54x = 170,842.01
  5. Step 5: Solve for x
    x = 170,842.01/463.54
  6. Step 6: Final answer
    x = 368.56

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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.