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Finding the Fourth Proportional to 946.17, 1,419.27 and 361.11

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Solution

The fourth proportional to 946.17, 1,419.27 and 361.11 is: 541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.17 : 1,419.27 = 361.11 : x
  2. Step 2: Convert to fraction form
    946.17/1,419.27 = 361.11/x
  3. Step 3: Cross multiply
    946.17x = 1,419.27 × 361.11
  4. Step 4: Simplify right side
    946.17x = 512,512.59
  5. Step 5: Solve for x
    x = 512,512.59/946.17
  6. Step 6: Final answer
    x = 541.67

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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.