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Finding the Fourth Proportional to 548.52, 821.34 and 385.32

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Solution

The fourth proportional to 548.52, 821.34 and 385.32 is: 576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.52 : 821.34 = 385.32 : x
  2. Step 2: Convert to fraction form
    548.52/821.34 = 385.32/x
  3. Step 3: Cross multiply
    548.52x = 821.34 × 385.32
  4. Step 4: Simplify right side
    548.52x = 316,478.73
  5. Step 5: Solve for x
    x = 316,478.73/548.52
  6. Step 6: Final answer
    x = 576.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.