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Finding the Fourth Proportional to 466.31, 698.22 and 246.49

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Solution

The fourth proportional to 466.31, 698.22 and 246.49 is: 369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.31 : 698.22 = 246.49 : x
  2. Step 2: Convert to fraction form
    466.31/698.22 = 246.49/x
  3. Step 3: Cross multiply
    466.31x = 698.22 × 246.49
  4. Step 4: Simplify right side
    466.31x = 172,102.50
  5. Step 5: Solve for x
    x = 172,102.50/466.31
  6. Step 6: Final answer
    x = 369.07

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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.