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Finding the Fourth Proportional to 946.92, 1,420.36 and 244.12

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Solution

The fourth proportional to 946.92, 1,420.36 and 244.12 is: 366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.92 : 1,420.36 = 244.12 : x
  2. Step 2: Convert to fraction form
    946.92/1,420.36 = 244.12/x
  3. Step 3: Cross multiply
    946.92x = 1,420.36 × 244.12
  4. Step 4: Simplify right side
    946.92x = 346,738.28
  5. Step 5: Solve for x
    x = 346,738.28/946.92
  6. Step 6: Final answer
    x = 366.17

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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.