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Finding the Fourth Proportional to 465.40, 698.09 and 172.86

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Solution

The fourth proportional to 465.40, 698.09 and 172.86 is: 259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 698.09 = 172.86 : x
  2. Step 2: Convert to fraction form
    465.40/698.09 = 172.86/x
  3. Step 3: Cross multiply
    465.40x = 698.09 × 172.86
  4. Step 4: Simplify right side
    465.40x = 120,671.78
  5. Step 5: Solve for x
    x = 120,671.78/465.40
  6. Step 6: Final answer
    x = 259.29

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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.