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Finding the Fourth Proportional to 412.26, 568.83 and 279.50

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Solution

The fourth proportional to 412.26, 568.83 and 279.50 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.26 : 568.83 = 279.50 : x
  2. Step 2: Convert to fraction form
    412.26/568.83 = 279.50/x
  3. Step 3: Cross multiply
    412.26x = 568.83 × 279.50
  4. Step 4: Simplify right side
    412.26x = 158,987.82
  5. Step 5: Solve for x
    x = 158,987.82/412.26
  6. Step 6: Final answer
    x = 385.65

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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.