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Finding the Fourth Proportional to 427.60, 640.99 and 222.19

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Solution

The fourth proportional to 427.60, 640.99 and 222.19 is: 333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.60 : 640.99 = 222.19 : x
  2. Step 2: Convert to fraction form
    427.60/640.99 = 222.19/x
  3. Step 3: Cross multiply
    427.60x = 640.99 × 222.19
  4. Step 4: Simplify right side
    427.60x = 142,423.22
  5. Step 5: Solve for x
    x = 142,423.22/427.60
  6. Step 6: Final answer
    x = 333.07

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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.