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Finding the Fourth Proportional to 548.10, 756.24 and 338.28

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Solution

The fourth proportional to 548.10, 756.24 and 338.28 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 756.24 = 338.28 : x
  2. Step 2: Convert to fraction form
    548.10/756.24 = 338.28/x
  3. Step 3: Cross multiply
    548.10x = 756.24 × 338.28
  4. Step 4: Simplify right side
    548.10x = 255,820.87
  5. Step 5: Solve for x
    x = 255,820.87/548.10
  6. Step 6: Final answer
    x = 466.74

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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.