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Finding the Fourth Proportional to 351.02, 484.46 and 211.16

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Solution

The fourth proportional to 351.02, 484.46 and 211.16 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.02 : 484.46 = 211.16 : x
  2. Step 2: Convert to fraction form
    351.02/484.46 = 211.16/x
  3. Step 3: Cross multiply
    351.02x = 484.46 × 211.16
  4. Step 4: Simplify right side
    351.02x = 102,295.10
  5. Step 5: Solve for x
    x = 102,295.10/351.02
  6. Step 6: Final answer
    x = 291.43

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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.