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Finding the Fourth Proportional to 397.31, 548.30 and 222.69

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Solution

The fourth proportional to 397.31, 548.30 and 222.69 is: 307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.31 : 548.30 = 222.69 : x
  2. Step 2: Convert to fraction form
    397.31/548.30 = 222.69/x
  3. Step 3: Cross multiply
    397.31x = 548.30 × 222.69
  4. Step 4: Simplify right side
    397.31x = 122,099.81
  5. Step 5: Solve for x
    x = 122,099.81/397.31
  6. Step 6: Final answer
    x = 307.31

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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.