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Finding the Fourth Proportional to 331.72, 458.01 and 221.46

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Solution

The fourth proportional to 331.72, 458.01 and 221.46 is: 305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.72 : 458.01 = 221.46 : x
  2. Step 2: Convert to fraction form
    331.72/458.01 = 221.46/x
  3. Step 3: Cross multiply
    331.72x = 458.01 × 221.46
  4. Step 4: Simplify right side
    331.72x = 101,430.89
  5. Step 5: Solve for x
    x = 101,430.89/331.72
  6. Step 6: Final answer
    x = 305.77

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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.