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Finding the Fourth Proportional to 333.22, 498.58 and 224.48

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Solution

The fourth proportional to 333.22, 498.58 and 224.48 is: 335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.22 : 498.58 = 224.48 : x
  2. Step 2: Convert to fraction form
    333.22/498.58 = 224.48/x
  3. Step 3: Cross multiply
    333.22x = 498.58 × 224.48
  4. Step 4: Simplify right side
    333.22x = 111,921.24
  5. Step 5: Solve for x
    x = 111,921.24/333.22
  6. Step 6: Final answer
    x = 335.88

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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.