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Finding the Fourth Proportional to 617.58, 852.21 and 355.62

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Solution

The fourth proportional to 617.58, 852.21 and 355.62 is: 490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.58 : 852.21 = 355.62 : x
  2. Step 2: Convert to fraction form
    617.58/852.21 = 355.62/x
  3. Step 3: Cross multiply
    617.58x = 852.21 × 355.62
  4. Step 4: Simplify right side
    617.58x = 303,062.92
  5. Step 5: Solve for x
    x = 303,062.92/617.58
  6. Step 6: Final answer
    x = 490.73

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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.