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Finding the Fourth Proportional to 548.11, 756.07 and 340.75

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Solution

The fourth proportional to 548.11, 756.07 and 340.75 is: 470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.11 : 756.07 = 340.75 : x
  2. Step 2: Convert to fraction form
    548.11/756.07 = 340.75/x
  3. Step 3: Cross multiply
    548.11x = 756.07 × 340.75
  4. Step 4: Simplify right side
    548.11x = 257,630.85
  5. Step 5: Solve for x
    x = 257,630.85/548.11
  6. Step 6: Final answer
    x = 470.03

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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.