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Finding the Fourth Proportional to 412.09, 568.41 and 264.49

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Solution

The fourth proportional to 412.09, 568.41 and 264.49 is: 364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.09 : 568.41 = 264.49 : x
  2. Step 2: Convert to fraction form
    412.09/568.41 = 264.49/x
  3. Step 3: Cross multiply
    412.09x = 568.41 × 264.49
  4. Step 4: Simplify right side
    412.09x = 150,334.60
  5. Step 5: Solve for x
    x = 150,334.60/412.09
  6. Step 6: Final answer
    x = 364.81

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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.