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Finding the Fourth Proportional to 299.52, 449.28 and 263.52

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Solution

The fourth proportional to 299.52, 449.28 and 263.52 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 449.28 = 263.52 : x
  2. Step 2: Convert to fraction form
    299.52/449.28 = 263.52/x
  3. Step 3: Cross multiply
    299.52x = 449.28 × 263.52
  4. Step 4: Simplify right side
    299.52x = 118,394.27
  5. Step 5: Solve for x
    x = 118,394.27/299.52
  6. Step 6: Final answer
    x = 395.28

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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.