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Finding the Fourth Proportional to 939.22, 1,407.92 and 361.69

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Solution

The fourth proportional to 939.22, 1,407.92 and 361.69 is: 542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.22 : 1,407.92 = 361.69 : x
  2. Step 2: Convert to fraction form
    939.22/1,407.92 = 361.69/x
  3. Step 3: Cross multiply
    939.22x = 1,407.92 × 361.69
  4. Step 4: Simplify right side
    939.22x = 509,225.26
  5. Step 5: Solve for x
    x = 509,225.26/939.22
  6. Step 6: Final answer
    x = 542.18

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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.