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Finding the Fourth Proportional to 395.69, 592.74 and 361.85

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Solution

The fourth proportional to 395.69, 592.74 and 361.85 is: 542.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.69 : 592.74 = 361.85 : x
  2. Step 2: Convert to fraction form
    395.69/592.74 = 361.85/x
  3. Step 3: Cross multiply
    395.69x = 592.74 × 361.85
  4. Step 4: Simplify right side
    395.69x = 214,480.01
  5. Step 5: Solve for x
    x = 214,480.01/395.69
  6. Step 6: Final answer
    x = 542.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.