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Finding the Fourth Proportional to 466.05, 698.78 and 173.52

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Solution

The fourth proportional to 466.05, 698.78 and 173.52 is: 260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.05 : 698.78 = 173.52 : x
  2. Step 2: Convert to fraction form
    466.05/698.78 = 173.52/x
  3. Step 3: Cross multiply
    466.05x = 698.78 × 173.52
  4. Step 4: Simplify right side
    466.05x = 121,249.80
  5. Step 5: Solve for x
    x = 121,249.80/466.05
  6. Step 6: Final answer
    x = 260.16

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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.