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Finding the Fourth Proportional to 465.86, 698.61 and 234.62

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Solution

The fourth proportional to 465.86, 698.61 and 234.62 is: 351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.86 : 698.61 = 234.62 : x
  2. Step 2: Convert to fraction form
    465.86/698.61 = 234.62/x
  3. Step 3: Cross multiply
    465.86x = 698.61 × 234.62
  4. Step 4: Simplify right side
    465.86x = 163,907.88
  5. Step 5: Solve for x
    x = 163,907.88/465.86
  6. Step 6: Final answer
    x = 351.84

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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.