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Finding the Fourth Proportional to 340.86, 512.58 and 271.60

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Solution

The fourth proportional to 340.86, 512.58 and 271.60 is: 408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.86 : 512.58 = 271.60 : x
  2. Step 2: Convert to fraction form
    340.86/512.58 = 271.60/x
  3. Step 3: Cross multiply
    340.86x = 512.58 × 271.60
  4. Step 4: Simplify right side
    340.86x = 139,217.82
  5. Step 5: Solve for x
    x = 139,217.82/340.86
  6. Step 6: Final answer
    x = 408.43

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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.