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Finding the Fourth Proportional to 466.40, 699.42 and 173.72

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Solution

The fourth proportional to 466.40, 699.42 and 173.72 is: 260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.40 : 699.42 = 173.72 : x
  2. Step 2: Convert to fraction form
    466.40/699.42 = 173.72/x
  3. Step 3: Cross multiply
    466.40x = 699.42 × 173.72
  4. Step 4: Simplify right side
    466.40x = 121,503.24
  5. Step 5: Solve for x
    x = 121,503.24/466.40
  6. Step 6: Final answer
    x = 260.51

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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.