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Finding the Fourth Proportional to 442.14, 664.02 and 361.14

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Solution

The fourth proportional to 442.14, 664.02 and 361.14 is: 542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.14 : 664.02 = 361.14 : x
  2. Step 2: Convert to fraction form
    442.14/664.02 = 361.14/x
  3. Step 3: Cross multiply
    442.14x = 664.02 × 361.14
  4. Step 4: Simplify right side
    442.14x = 239,804.18
  5. Step 5: Solve for x
    x = 239,804.18/442.14
  6. Step 6: Final answer
    x = 542.37

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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.