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Finding the Fourth Proportional to 548.36, 756.25 and 454.96

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Solution

The fourth proportional to 548.36, 756.25 and 454.96 is: 627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.36 : 756.25 = 454.96 : x
  2. Step 2: Convert to fraction form
    548.36/756.25 = 454.96/x
  3. Step 3: Cross multiply
    548.36x = 756.25 × 454.96
  4. Step 4: Simplify right side
    548.36x = 344,064.86
  5. Step 5: Solve for x
    x = 344,064.86/548.36
  6. Step 6: Final answer
    x = 627.44

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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.