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Finding the Fourth Proportional to 617.66, 925.40 and 443.48

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Solution

The fourth proportional to 617.66, 925.40 and 443.48 is: 664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.66 : 925.40 = 443.48 : x
  2. Step 2: Convert to fraction form
    617.66/925.40 = 443.48/x
  3. Step 3: Cross multiply
    617.66x = 925.40 × 443.48
  4. Step 4: Simplify right side
    617.66x = 410,396.39
  5. Step 5: Solve for x
    x = 410,396.39/617.66
  6. Step 6: Final answer
    x = 664.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.