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Finding the Fourth Proportional to 465.99, 699.44 and 173.79

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Solution

The fourth proportional to 465.99, 699.44 and 173.79 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.99 : 699.44 = 173.79 : x
  2. Step 2: Convert to fraction form
    465.99/699.44 = 173.79/x
  3. Step 3: Cross multiply
    465.99x = 699.44 × 173.79
  4. Step 4: Simplify right side
    465.99x = 121,552.18
  5. Step 5: Solve for x
    x = 121,552.18/465.99
  6. Step 6: Final answer
    x = 260.85

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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.