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Finding the Fourth Proportional to 463.26, 639.29 and 253.43

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Solution

The fourth proportional to 463.26, 639.29 and 253.43 is: 349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.26 : 639.29 = 253.43 : x
  2. Step 2: Convert to fraction form
    463.26/639.29 = 253.43/x
  3. Step 3: Cross multiply
    463.26x = 639.29 × 253.43
  4. Step 4: Simplify right side
    463.26x = 162,017.50
  5. Step 5: Solve for x
    x = 162,017.50/463.26
  6. Step 6: Final answer
    x = 349.74

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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.