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Finding the Fourth Proportional to 361.46, 544.17 and 266.06

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Solution

The fourth proportional to 361.46, 544.17 and 266.06 is: 400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.46 : 544.17 = 266.06 : x
  2. Step 2: Convert to fraction form
    361.46/544.17 = 266.06/x
  3. Step 3: Cross multiply
    361.46x = 544.17 × 266.06
  4. Step 4: Simplify right side
    361.46x = 144,778.15
  5. Step 5: Solve for x
    x = 144,778.15/361.46
  6. Step 6: Final answer
    x = 400.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.