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Finding the Fourth Proportional to 465.63, 699.66 and 222.63

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Solution

The fourth proportional to 465.63, 699.66 and 222.63 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.63 : 699.66 = 222.63 : x
  2. Step 2: Convert to fraction form
    465.63/699.66 = 222.63/x
  3. Step 3: Cross multiply
    465.63x = 699.66 × 222.63
  4. Step 4: Simplify right side
    465.63x = 155,765.31
  5. Step 5: Solve for x
    x = 155,765.31/465.63
  6. Step 6: Final answer
    x = 334.53

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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.