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Finding the Fourth Proportional to 397.65, 548.81 and 223

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Solution

The fourth proportional to 397.65, 548.81 and 223 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.65 : 548.81 = 223 : x
  2. Step 2: Convert to fraction form
    397.65/548.81 = 223/x
  3. Step 3: Cross multiply
    397.65x = 548.81 × 223
  4. Step 4: Simplify right side
    397.65x = 122,383.52
  5. Step 5: Solve for x
    x = 122,383.52/397.65
  6. Step 6: Final answer
    x = 307.77

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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.