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Finding the Fourth Proportional to 339.91, 510.27 and 262.96

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Solution

The fourth proportional to 339.91, 510.27 and 262.96 is: 394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.91 : 510.27 = 262.96 : x
  2. Step 2: Convert to fraction form
    339.91/510.27 = 262.96/x
  3. Step 3: Cross multiply
    339.91x = 510.27 × 262.96
  4. Step 4: Simplify right side
    339.91x = 134,180.60
  5. Step 5: Solve for x
    x = 134,180.60/339.91
  6. Step 6: Final answer
    x = 394.75

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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.