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Finding the Fourth Proportional to 392.26, 541.77 and 361.06

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Solution

The fourth proportional to 392.26, 541.77 and 361.06 is: 498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.26 : 541.77 = 361.06 : x
  2. Step 2: Convert to fraction form
    392.26/541.77 = 361.06/x
  3. Step 3: Cross multiply
    392.26x = 541.77 × 361.06
  4. Step 4: Simplify right side
    392.26x = 195,611.48
  5. Step 5: Solve for x
    x = 195,611.48/392.26
  6. Step 6: Final answer
    x = 498.68

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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.