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Finding the Fourth Proportional to 642.78, 886.58 and 394.22

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Solution

The fourth proportional to 642.78, 886.58 and 394.22 is: 543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.78 : 886.58 = 394.22 : x
  2. Step 2: Convert to fraction form
    642.78/886.58 = 394.22/x
  3. Step 3: Cross multiply
    642.78x = 886.58 × 394.22
  4. Step 4: Simplify right side
    642.78x = 349,505.35
  5. Step 5: Solve for x
    x = 349,505.35/642.78
  6. Step 6: Final answer
    x = 543.74

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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.