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Finding the Fourth Proportional to 617.64, 852.14 and 355.60

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Solution

The fourth proportional to 617.64, 852.14 and 355.60 is: 490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.64 : 852.14 = 355.60 : x
  2. Step 2: Convert to fraction form
    617.64/852.14 = 355.60/x
  3. Step 3: Cross multiply
    617.64x = 852.14 × 355.60
  4. Step 4: Simplify right side
    617.64x = 303,020.98
  5. Step 5: Solve for x
    x = 303,020.98/617.64
  6. Step 6: Final answer
    x = 490.61

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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.