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Finding the Fourth Proportional to 946.89, 1,419.53 and 361.56

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Solution

The fourth proportional to 946.89, 1,419.53 and 361.56 is: 542.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.89 : 1,419.53 = 361.56 : x
  2. Step 2: Convert to fraction form
    946.89/1,419.53 = 361.56/x
  3. Step 3: Cross multiply
    946.89x = 1,419.53 × 361.56
  4. Step 4: Simplify right side
    946.89x = 513,243.46
  5. Step 5: Solve for x
    x = 513,243.46/946.89
  6. Step 6: Final answer
    x = 542.03

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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.