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Finding the Fourth Proportional to 463.39, 639.46 and 266.90

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Solution

The fourth proportional to 463.39, 639.46 and 266.90 is: 368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.39 : 639.46 = 266.90 : x
  2. Step 2: Convert to fraction form
    463.39/639.46 = 266.90/x
  3. Step 3: Cross multiply
    463.39x = 639.46 × 266.90
  4. Step 4: Simplify right side
    463.39x = 170,669.01
  5. Step 5: Solve for x
    x = 170,669.01/463.39
  6. Step 6: Final answer
    x = 368.31

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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.