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Finding the Fourth Proportional to 351.66, 527.37 and 270.34

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Solution

The fourth proportional to 351.66, 527.37 and 270.34 is: 405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.66 : 527.37 = 270.34 : x
  2. Step 2: Convert to fraction form
    351.66/527.37 = 270.34/x
  3. Step 3: Cross multiply
    351.66x = 527.37 × 270.34
  4. Step 4: Simplify right side
    351.66x = 142,569.21
  5. Step 5: Solve for x
    x = 142,569.21/351.66
  6. Step 6: Final answer
    x = 405.42

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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.