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Finding the Fourth Proportional to 465.14, 696.69 and 220.92

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Solution

The fourth proportional to 465.14, 696.69 and 220.92 is: 330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 696.69 = 220.92 : x
  2. Step 2: Convert to fraction form
    465.14/696.69 = 220.92/x
  3. Step 3: Cross multiply
    465.14x = 696.69 × 220.92
  4. Step 4: Simplify right side
    465.14x = 153,912.75
  5. Step 5: Solve for x
    x = 153,912.75/465.14
  6. Step 6: Final answer
    x = 330.90

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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.