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Finding the Fourth Proportional to 548.24, 825.56 and 404.96

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Solution

The fourth proportional to 548.24, 825.56 and 404.96 is: 609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 825.56 = 404.96 : x
  2. Step 2: Convert to fraction form
    548.24/825.56 = 404.96/x
  3. Step 3: Cross multiply
    548.24x = 825.56 × 404.96
  4. Step 4: Simplify right side
    548.24x = 334,318.78
  5. Step 5: Solve for x
    x = 334,318.78/548.24
  6. Step 6: Final answer
    x = 609.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.