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Finding the Fourth Proportional to 617.71, 852.42 and 355.77

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Solution

The fourth proportional to 617.71, 852.42 and 355.77 is: 490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.71 : 852.42 = 355.77 : x
  2. Step 2: Convert to fraction form
    617.71/852.42 = 355.77/x
  3. Step 3: Cross multiply
    617.71x = 852.42 × 355.77
  4. Step 4: Simplify right side
    617.71x = 303,263.68
  5. Step 5: Solve for x
    x = 303,263.68/617.71
  6. Step 6: Final answer
    x = 490.95

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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.