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Finding the Fourth Proportional to 351.02, 484.27 and 211.14

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Solution

The fourth proportional to 351.02, 484.27 and 211.14 is: 291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.02 : 484.27 = 211.14 : x
  2. Step 2: Convert to fraction form
    351.02/484.27 = 211.14/x
  3. Step 3: Cross multiply
    351.02x = 484.27 × 211.14
  4. Step 4: Simplify right side
    351.02x = 102,248.77
  5. Step 5: Solve for x
    x = 102,248.77/351.02
  6. Step 6: Final answer
    x = 291.29

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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.