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Finding the Fourth Proportional to 463.53, 639.69 and 267.04

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Solution

The fourth proportional to 463.53, 639.69 and 267.04 is: 368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.53 : 639.69 = 267.04 : x
  2. Step 2: Convert to fraction form
    463.53/639.69 = 267.04/x
  3. Step 3: Cross multiply
    463.53x = 639.69 × 267.04
  4. Step 4: Simplify right side
    463.53x = 170,820.22
  5. Step 5: Solve for x
    x = 170,820.22/463.53
  6. Step 6: Final answer
    x = 368.52

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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.