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Finding the Fourth Proportional to 411.78, 568.32 and 264.48

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Solution

The fourth proportional to 411.78, 568.32 and 264.48 is: 365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.78 : 568.32 = 264.48 : x
  2. Step 2: Convert to fraction form
    411.78/568.32 = 264.48/x
  3. Step 3: Cross multiply
    411.78x = 568.32 × 264.48
  4. Step 4: Simplify right side
    411.78x = 150,309.27
  5. Step 5: Solve for x
    x = 150,309.27/411.78
  6. Step 6: Final answer
    x = 365.02

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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.