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Finding the Fourth Proportional to 884.03, 1,326.23 and 299.00

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Solution

The fourth proportional to 884.03, 1,326.23 and 299.00 is: 448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.03 : 1,326.23 = 299.00 : x
  2. Step 2: Convert to fraction form
    884.03/1,326.23 = 299.00/x
  3. Step 3: Cross multiply
    884.03x = 1,326.23 × 299.00
  4. Step 4: Simplify right side
    884.03x = 396,541.56
  5. Step 5: Solve for x
    x = 396,541.56/884.03
  6. Step 6: Final answer
    x = 448.56

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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.