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Finding the Fourth Proportional to 366.10, 548.64 and 262.78

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Solution

The fourth proportional to 366.10, 548.64 and 262.78 is: 393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.10 : 548.64 = 262.78 : x
  2. Step 2: Convert to fraction form
    366.10/548.64 = 262.78/x
  3. Step 3: Cross multiply
    366.10x = 548.64 × 262.78
  4. Step 4: Simplify right side
    366.10x = 144,171.62
  5. Step 5: Solve for x
    x = 144,171.62/366.10
  6. Step 6: Final answer
    x = 393.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.