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Finding the Fourth Proportional to 466.47, 699.22 and 169.79

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Solution

The fourth proportional to 466.47, 699.22 and 169.79 is: 254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.47 : 699.22 = 169.79 : x
  2. Step 2: Convert to fraction form
    466.47/699.22 = 169.79/x
  3. Step 3: Cross multiply
    466.47x = 699.22 × 169.79
  4. Step 4: Simplify right side
    466.47x = 118,719.60
  5. Step 5: Solve for x
    x = 118,719.60/466.47
  6. Step 6: Final answer
    x = 254.50

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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.