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Finding the Fourth Proportional to 361.94, 497.43 and 320.23

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Solution

The fourth proportional to 361.94, 497.43 and 320.23 is: 440.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.94 : 497.43 = 320.23 : x
  2. Step 2: Convert to fraction form
    361.94/497.43 = 320.23/x
  3. Step 3: Cross multiply
    361.94x = 497.43 × 320.23
  4. Step 4: Simplify right side
    361.94x = 159,292.01
  5. Step 5: Solve for x
    x = 159,292.01/361.94
  6. Step 6: Final answer
    x = 440.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.