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Finding the Fourth Proportional to 361.68, 542.10 and 343.68

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Solution

The fourth proportional to 361.68, 542.10 and 343.68 is: 515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.68 : 542.10 = 343.68 : x
  2. Step 2: Convert to fraction form
    361.68/542.10 = 343.68/x
  3. Step 3: Cross multiply
    361.68x = 542.10 × 343.68
  4. Step 4: Simplify right side
    361.68x = 186,308.93
  5. Step 5: Solve for x
    x = 186,308.93/361.68
  6. Step 6: Final answer
    x = 515.12

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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.