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Finding the Fourth Proportional to 351.70, 527.42 and 214.78

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Solution

The fourth proportional to 351.70, 527.42 and 214.78 is: 322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.70 : 527.42 = 214.78 : x
  2. Step 2: Convert to fraction form
    351.70/527.42 = 214.78/x
  3. Step 3: Cross multiply
    351.70x = 527.42 × 214.78
  4. Step 4: Simplify right side
    351.70x = 113,279.27
  5. Step 5: Solve for x
    x = 113,279.27/351.70
  6. Step 6: Final answer
    x = 322.09

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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.