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Finding the Fourth Proportional to 617.67, 852.44 and 355.77

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Solution

The fourth proportional to 617.67, 852.44 and 355.77 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 852.44 = 355.77 : x
  2. Step 2: Convert to fraction form
    617.67/852.44 = 355.77/x
  3. Step 3: Cross multiply
    617.67x = 852.44 × 355.77
  4. Step 4: Simplify right side
    617.67x = 303,270.80
  5. Step 5: Solve for x
    x = 303,270.80/617.67
  6. Step 6: Final answer
    x = 490.99

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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.