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Finding the Fourth Proportional to 642.23, 886.26 and 347.49

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Solution

The fourth proportional to 642.23, 886.26 and 347.49 is: 479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.23 : 886.26 = 347.49 : x
  2. Step 2: Convert to fraction form
    642.23/886.26 = 347.49/x
  3. Step 3: Cross multiply
    642.23x = 886.26 × 347.49
  4. Step 4: Simplify right side
    642.23x = 307,966.49
  5. Step 5: Solve for x
    x = 307,966.49/642.23
  6. Step 6: Final answer
    x = 479.53

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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.