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Finding the Fourth Proportional to 938.25, 1,408.05 and 361.13

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Solution

The fourth proportional to 938.25, 1,408.05 and 361.13 is: 541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.25 : 1,408.05 = 361.13 : x
  2. Step 2: Convert to fraction form
    938.25/1,408.05 = 361.13/x
  3. Step 3: Cross multiply
    938.25x = 1,408.05 × 361.13
  4. Step 4: Simplify right side
    938.25x = 508,482.06
  5. Step 5: Solve for x
    x = 508,482.06/938.25
  6. Step 6: Final answer
    x = 541.95

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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.