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Finding the Fourth Proportional to 548.72, 756.96 and 416.30

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Solution

The fourth proportional to 548.72, 756.96 and 416.30 is: 574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 756.96 = 416.30 : x
  2. Step 2: Convert to fraction form
    548.72/756.96 = 416.30/x
  3. Step 3: Cross multiply
    548.72x = 756.96 × 416.30
  4. Step 4: Simplify right side
    548.72x = 315,122.45
  5. Step 5: Solve for x
    x = 315,122.45/548.72
  6. Step 6: Final answer
    x = 574.29

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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.