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Finding the Fourth Proportional to 395.94, 596.10 and 361.92

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Solution

The fourth proportional to 395.94, 596.10 and 361.92 is: 544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.94 : 596.10 = 361.92 : x
  2. Step 2: Convert to fraction form
    395.94/596.10 = 361.92/x
  3. Step 3: Cross multiply
    395.94x = 596.10 × 361.92
  4. Step 4: Simplify right side
    395.94x = 215,740.51
  5. Step 5: Solve for x
    x = 215,740.51/395.94
  6. Step 6: Final answer
    x = 544.88

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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.