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Finding the Fourth Proportional to 548.63, 756.33 and 338.67

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Solution

The fourth proportional to 548.63, 756.33 and 338.67 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.63 : 756.33 = 338.67 : x
  2. Step 2: Convert to fraction form
    548.63/756.33 = 338.67/x
  3. Step 3: Cross multiply
    548.63x = 756.33 × 338.67
  4. Step 4: Simplify right side
    548.63x = 256,146.28
  5. Step 5: Solve for x
    x = 256,146.28/548.63
  6. Step 6: Final answer
    x = 466.88

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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.