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Finding the Fourth Proportional to 466.42, 699.41 and 173.91

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Solution

The fourth proportional to 466.42, 699.41 and 173.91 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.42 : 699.41 = 173.91 : x
  2. Step 2: Convert to fraction form
    466.42/699.41 = 173.91/x
  3. Step 3: Cross multiply
    466.42x = 699.41 × 173.91
  4. Step 4: Simplify right side
    466.42x = 121,635.24
  5. Step 5: Solve for x
    x = 121,635.24/466.42
  6. Step 6: Final answer
    x = 260.78

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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.