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Finding the Fourth Proportional to 642.26, 886.28 and 393.66

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Solution

The fourth proportional to 642.26, 886.28 and 393.66 is: 543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.26 : 886.28 = 393.66 : x
  2. Step 2: Convert to fraction form
    642.26/886.28 = 393.66/x
  3. Step 3: Cross multiply
    642.26x = 886.28 × 393.66
  4. Step 4: Simplify right side
    642.26x = 348,891.02
  5. Step 5: Solve for x
    x = 348,891.02/642.26
  6. Step 6: Final answer
    x = 543.22

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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.