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Finding the Fourth Proportional to 465.86, 698.42 and 222.50

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Solution

The fourth proportional to 465.86, 698.42 and 222.50 is: 333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.86 : 698.42 = 222.50 : x
  2. Step 2: Convert to fraction form
    465.86/698.42 = 222.50/x
  3. Step 3: Cross multiply
    465.86x = 698.42 × 222.50
  4. Step 4: Simplify right side
    465.86x = 155,398.45
  5. Step 5: Solve for x
    x = 155,398.45/465.86
  6. Step 6: Final answer
    x = 333.57

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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.