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Finding the Fourth Proportional to 335.34, 502.20 and 205.43

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Solution

The fourth proportional to 335.34, 502.20 and 205.43 is: 307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.34 : 502.20 = 205.43 : x
  2. Step 2: Convert to fraction form
    335.34/502.20 = 205.43/x
  3. Step 3: Cross multiply
    335.34x = 502.20 × 205.43
  4. Step 4: Simplify right side
    335.34x = 103,164.44
  5. Step 5: Solve for x
    x = 103,164.44/335.34
  6. Step 6: Final answer
    x = 307.64

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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.