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Finding the Fourth Proportional to 548.44, 756.72 and 408.88

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Solution

The fourth proportional to 548.44, 756.72 and 408.88 is: 564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.44 : 756.72 = 408.88 : x
  2. Step 2: Convert to fraction form
    548.44/756.72 = 408.88/x
  3. Step 3: Cross multiply
    548.44x = 756.72 × 408.88
  4. Step 4: Simplify right side
    548.44x = 309,407.67
  5. Step 5: Solve for x
    x = 309,407.67/548.44
  6. Step 6: Final answer
    x = 564.16

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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.