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Finding the Fourth Proportional to 548.25, 756.34 and 380.17

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Solution

The fourth proportional to 548.25, 756.34 and 380.17 is: 524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.25 : 756.34 = 380.17 : x
  2. Step 2: Convert to fraction form
    548.25/756.34 = 380.17/x
  3. Step 3: Cross multiply
    548.25x = 756.34 × 380.17
  4. Step 4: Simplify right side
    548.25x = 287,537.78
  5. Step 5: Solve for x
    x = 287,537.78/548.25
  6. Step 6: Final answer
    x = 524.46

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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.