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Finding the Fourth Proportional to 299.52, 412.56 and 279.36

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Solution

The fourth proportional to 299.52, 412.56 and 279.36 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 412.56 = 279.36 : x
  2. Step 2: Convert to fraction form
    299.52/412.56 = 279.36/x
  3. Step 3: Cross multiply
    299.52x = 412.56 × 279.36
  4. Step 4: Simplify right side
    299.52x = 115,252.76
  5. Step 5: Solve for x
    x = 115,252.76/299.52
  6. Step 6: Final answer
    x = 384.79

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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.