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Finding the Fourth Proportional to 946.49, 1,419.37 and 361.46

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Solution

The fourth proportional to 946.49, 1,419.37 and 361.46 is: 542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.49 : 1,419.37 = 361.46 : x
  2. Step 2: Convert to fraction form
    946.49/1,419.37 = 361.46/x
  3. Step 3: Cross multiply
    946.49x = 1,419.37 × 361.46
  4. Step 4: Simplify right side
    946.49x = 513,050.16
  5. Step 5: Solve for x
    x = 513,050.16/946.49
  6. Step 6: Final answer
    x = 542.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.