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Finding the Fourth Proportional to 334.82, 502.24 and 270.20

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Solution

The fourth proportional to 334.82, 502.24 and 270.20 is: 405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.82 : 502.24 = 270.20 : x
  2. Step 2: Convert to fraction form
    334.82/502.24 = 270.20/x
  3. Step 3: Cross multiply
    334.82x = 502.24 × 270.20
  4. Step 4: Simplify right side
    334.82x = 135,705.25
  5. Step 5: Solve for x
    x = 135,705.25/334.82
  6. Step 6: Final answer
    x = 405.31

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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.