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Finding the Fourth Proportional to 397.46, 548.64 and 266.42

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Solution

The fourth proportional to 397.46, 548.64 and 266.42 is: 367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.46 : 548.64 = 266.42 : x
  2. Step 2: Convert to fraction form
    397.46/548.64 = 266.42/x
  3. Step 3: Cross multiply
    397.46x = 548.64 × 266.42
  4. Step 4: Simplify right side
    397.46x = 146,165.93
  5. Step 5: Solve for x
    x = 146,165.93/397.46
  6. Step 6: Final answer
    x = 367.75

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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.