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Finding the Fourth Proportional to 412.20, 569.32 and 264.96

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Solution

The fourth proportional to 412.20, 569.32 and 264.96 is: 365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.20 : 569.32 = 264.96 : x
  2. Step 2: Convert to fraction form
    412.20/569.32 = 264.96/x
  3. Step 3: Cross multiply
    412.20x = 569.32 × 264.96
  4. Step 4: Simplify right side
    412.20x = 150,847.03
  5. Step 5: Solve for x
    x = 150,847.03/412.20
  6. Step 6: Final answer
    x = 365.96

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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.