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Finding the Fourth Proportional to 664.20, 915.30 and 617.22

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Solution

The fourth proportional to 664.20, 915.30 and 617.22 is: 850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 915.30 = 617.22 : x
  2. Step 2: Convert to fraction form
    664.20/915.30 = 617.22/x
  3. Step 3: Cross multiply
    664.20x = 915.30 × 617.22
  4. Step 4: Simplify right side
    664.20x = 564,941.47
  5. Step 5: Solve for x
    x = 564,941.47/664.20
  6. Step 6: Final answer
    x = 850.56

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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.