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Finding the Fourth Proportional to 617.70, 852.42 and 355.71

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Solution

The fourth proportional to 617.70, 852.42 and 355.71 is: 490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.70 : 852.42 = 355.71 : x
  2. Step 2: Convert to fraction form
    617.70/852.42 = 355.71/x
  3. Step 3: Cross multiply
    617.70x = 852.42 × 355.71
  4. Step 4: Simplify right side
    617.70x = 303,214.32
  5. Step 5: Solve for x
    x = 303,214.32/617.70
  6. Step 6: Final answer
    x = 490.88

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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.