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Finding the Fourth Proportional to 271.86, 408.48 and 264.30

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Solution

The fourth proportional to 271.86, 408.48 and 264.30 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.86 : 408.48 = 264.30 : x
  2. Step 2: Convert to fraction form
    271.86/408.48 = 264.30/x
  3. Step 3: Cross multiply
    271.86x = 408.48 × 264.30
  4. Step 4: Simplify right side
    271.86x = 107,961.26
  5. Step 5: Solve for x
    x = 107,961.26/271.86
  6. Step 6: Final answer
    x = 397.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.