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Finding the Fourth Proportional to 351.42, 527.74 and 208.04

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Solution

The fourth proportional to 351.42, 527.74 and 208.04 is: 312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 527.74 = 208.04 : x
  2. Step 2: Convert to fraction form
    351.42/527.74 = 208.04/x
  3. Step 3: Cross multiply
    351.42x = 527.74 × 208.04
  4. Step 4: Simplify right side
    351.42x = 109,791.03
  5. Step 5: Solve for x
    x = 109,791.03/351.42
  6. Step 6: Final answer
    x = 312.42

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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.