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Finding the Fourth Proportional to 361.07, 541.30 and 306.59

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Solution

The fourth proportional to 361.07, 541.30 and 306.59 is: 459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.07 : 541.30 = 306.59 : x
  2. Step 2: Convert to fraction form
    361.07/541.30 = 306.59/x
  3. Step 3: Cross multiply
    361.07x = 541.30 × 306.59
  4. Step 4: Simplify right side
    361.07x = 165,953.69
  5. Step 5: Solve for x
    x = 165,953.69/361.07
  6. Step 6: Final answer
    x = 459.61

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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.