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Finding the Fourth Proportional to 353.68, 487.84 and 222.46

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Solution

The fourth proportional to 353.68, 487.84 and 222.46 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.68 : 487.84 = 222.46 : x
  2. Step 2: Convert to fraction form
    353.68/487.84 = 222.46/x
  3. Step 3: Cross multiply
    353.68x = 487.84 × 222.46
  4. Step 4: Simplify right side
    353.68x = 108,522.45
  5. Step 5: Solve for x
    x = 108,522.45/353.68
  6. Step 6: Final answer
    x = 306.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.