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Finding the Fourth Proportional to 392.84, 589.24 and 222.20

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Solution

The fourth proportional to 392.84, 589.24 and 222.20 is: 333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.84 : 589.24 = 222.20 : x
  2. Step 2: Convert to fraction form
    392.84/589.24 = 222.20/x
  3. Step 3: Cross multiply
    392.84x = 589.24 × 222.20
  4. Step 4: Simplify right side
    392.84x = 130,929.13
  5. Step 5: Solve for x
    x = 130,929.13/392.84
  6. Step 6: Final answer
    x = 333.29

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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.