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Finding the Fourth Proportional to 617.20, 852 and 442.24

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Solution

The fourth proportional to 617.20, 852 and 442.24 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.20 : 852 = 442.24 : x
  2. Step 2: Convert to fraction form
    617.20/852 = 442.24/x
  3. Step 3: Cross multiply
    617.20x = 852 × 442.24
  4. Step 4: Simplify right side
    617.20x = 376,788.48
  5. Step 5: Solve for x
    x = 376,788.48/617.20
  6. Step 6: Final answer
    x = 610.48

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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.