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Finding the Fourth Proportional to 548.08, 756.10 and 361.78

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Solution

The fourth proportional to 548.08, 756.10 and 361.78 is: 499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.08 : 756.10 = 361.78 : x
  2. Step 2: Convert to fraction form
    548.08/756.10 = 361.78/x
  3. Step 3: Cross multiply
    548.08x = 756.10 × 361.78
  4. Step 4: Simplify right side
    548.08x = 273,541.86
  5. Step 5: Solve for x
    x = 273,541.86/548.08
  6. Step 6: Final answer
    x = 499.09

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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.