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Finding the Fourth Proportional to 299.52, 412.38 and 263.88

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Solution

The fourth proportional to 299.52, 412.38 and 263.88 is: 363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 412.38 = 263.88 : x
  2. Step 2: Convert to fraction form
    299.52/412.38 = 263.88/x
  3. Step 3: Cross multiply
    299.52x = 412.38 × 263.88
  4. Step 4: Simplify right side
    299.52x = 108,818.83
  5. Step 5: Solve for x
    x = 108,818.83/299.52
  6. Step 6: Final answer
    x = 363.31

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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.