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Finding the Fourth Proportional to 617.32, 852 and 355.49

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Solution

The fourth proportional to 617.32, 852 and 355.49 is: 490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.32 : 852 = 355.49 : x
  2. Step 2: Convert to fraction form
    617.32/852 = 355.49/x
  3. Step 3: Cross multiply
    617.32x = 852 × 355.49
  4. Step 4: Simplify right side
    617.32x = 302,873.22
  5. Step 5: Solve for x
    x = 302,873.22/617.32
  6. Step 6: Final answer
    x = 490.63

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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.