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Finding the Fourth Proportional to 642.25, 886.31 and 366.25

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Solution

The fourth proportional to 642.25, 886.31 and 366.25 is: 505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.25 : 886.31 = 366.25 : x
  2. Step 2: Convert to fraction form
    642.25/886.31 = 366.25/x
  3. Step 3: Cross multiply
    642.25x = 886.31 × 366.25
  4. Step 4: Simplify right side
    642.25x = 324,611.04
  5. Step 5: Solve for x
    x = 324,611.04/642.25
  6. Step 6: Final answer
    x = 505.43

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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.