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Finding the Fourth Proportional to 946.13, 1,419.36 and 330.21

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Solution

The fourth proportional to 946.13, 1,419.36 and 330.21 is: 495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.13 : 1,419.36 = 330.21 : x
  2. Step 2: Convert to fraction form
    946.13/1,419.36 = 330.21/x
  3. Step 3: Cross multiply
    946.13x = 1,419.36 × 330.21
  4. Step 4: Simplify right side
    946.13x = 468,685.63
  5. Step 5: Solve for x
    x = 468,685.63/946.13
  6. Step 6: Final answer
    x = 495.37

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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.