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Finding the Fourth Proportional to 617.44, 852.12 and 355.48

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Solution

The fourth proportional to 617.44, 852.12 and 355.48 is: 490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.44 : 852.12 = 355.48 : x
  2. Step 2: Convert to fraction form
    617.44/852.12 = 355.48/x
  3. Step 3: Cross multiply
    617.44x = 852.12 × 355.48
  4. Step 4: Simplify right side
    617.44x = 302,911.62
  5. Step 5: Solve for x
    x = 302,911.62/617.44
  6. Step 6: Final answer
    x = 490.59

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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.