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Finding the Fourth Proportional to 647.97, 894.14 and 353.24

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Solution

The fourth proportional to 647.97, 894.14 and 353.24 is: 487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.97 : 894.14 = 353.24 : x
  2. Step 2: Convert to fraction form
    647.97/894.14 = 353.24/x
  3. Step 3: Cross multiply
    647.97x = 894.14 × 353.24
  4. Step 4: Simplify right side
    647.97x = 315,839.78
  5. Step 5: Solve for x
    x = 315,839.78/647.97
  6. Step 6: Final answer
    x = 487.43

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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.