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Finding the Fourth Proportional to 443.99, 612.39 and 296.37

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Solution

The fourth proportional to 443.99, 612.39 and 296.37 is: 408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.99 : 612.39 = 296.37 : x
  2. Step 2: Convert to fraction form
    443.99/612.39 = 296.37/x
  3. Step 3: Cross multiply
    443.99x = 612.39 × 296.37
  4. Step 4: Simplify right side
    443.99x = 181,495.14
  5. Step 5: Solve for x
    x = 181,495.14/443.99
  6. Step 6: Final answer
    x = 408.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.