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Finding the Fourth Proportional to 399.67, 598.19 and 361.78

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Solution

The fourth proportional to 399.67, 598.19 and 361.78 is: 541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.67 : 598.19 = 361.78 : x
  2. Step 2: Convert to fraction form
    399.67/598.19 = 361.78/x
  3. Step 3: Cross multiply
    399.67x = 598.19 × 361.78
  4. Step 4: Simplify right side
    399.67x = 216,413.18
  5. Step 5: Solve for x
    x = 216,413.18/399.67
  6. Step 6: Final answer
    x = 541.48

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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.