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Finding the Fourth Proportional to 351.78, 485.47 and 211.84

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Solution

The fourth proportional to 351.78, 485.47 and 211.84 is: 292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.78 : 485.47 = 211.84 : x
  2. Step 2: Convert to fraction form
    351.78/485.47 = 211.84/x
  3. Step 3: Cross multiply
    351.78x = 485.47 × 211.84
  4. Step 4: Simplify right side
    351.78x = 102,841.96
  5. Step 5: Solve for x
    x = 102,841.96/351.78
  6. Step 6: Final answer
    x = 292.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.