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Finding the Fourth Proportional to 617.00, 925.34 and 226.98

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Solution

The fourth proportional to 617.00, 925.34 and 226.98 is: 340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.00 : 925.34 = 226.98 : x
  2. Step 2: Convert to fraction form
    617.00/925.34 = 226.98/x
  3. Step 3: Cross multiply
    617.00x = 925.34 × 226.98
  4. Step 4: Simplify right side
    617.00x = 210,032.54
  5. Step 5: Solve for x
    x = 210,032.54/617.00
  6. Step 6: Final answer
    x = 340.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.