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Finding the Fourth Proportional to 611.46, 917.31 and 246.21

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Solution

The fourth proportional to 611.46, 917.31 and 246.21 is: 369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.46 : 917.31 = 246.21 : x
  2. Step 2: Convert to fraction form
    611.46/917.31 = 246.21/x
  3. Step 3: Cross multiply
    611.46x = 917.31 × 246.21
  4. Step 4: Simplify right side
    611.46x = 225,850.90
  5. Step 5: Solve for x
    x = 225,850.90/611.46
  6. Step 6: Final answer
    x = 369.36

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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.