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Finding the Fourth Proportional to 465.57, 698.36 and 173.09

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Solution

The fourth proportional to 465.57, 698.36 and 173.09 is: 259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 698.36 = 173.09 : x
  2. Step 2: Convert to fraction form
    465.57/698.36 = 173.09/x
  3. Step 3: Cross multiply
    465.57x = 698.36 × 173.09
  4. Step 4: Simplify right side
    465.57x = 120,880.01
  5. Step 5: Solve for x
    x = 120,880.01/465.57
  6. Step 6: Final answer
    x = 259.64

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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.