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Finding the Fourth Proportional to 466.56, 698.36 and 249.48

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Solution

The fourth proportional to 466.56, 698.36 and 249.48 is: 373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.56 : 698.36 = 249.48 : x
  2. Step 2: Convert to fraction form
    466.56/698.36 = 249.48/x
  3. Step 3: Cross multiply
    466.56x = 698.36 × 249.48
  4. Step 4: Simplify right side
    466.56x = 174,226.85
  5. Step 5: Solve for x
    x = 174,226.85/466.56
  6. Step 6: Final answer
    x = 373.43

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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.