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Finding the Fourth Proportional to 511.50, 704.94 and 371.40

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Solution

The fourth proportional to 511.50, 704.94 and 371.40 is: 511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 704.94 = 371.40 : x
  2. Step 2: Convert to fraction form
    511.50/704.94 = 371.40/x
  3. Step 3: Cross multiply
    511.50x = 704.94 × 371.40
  4. Step 4: Simplify right side
    511.50x = 261,814.72
  5. Step 5: Solve for x
    x = 261,814.72/511.50
  6. Step 6: Final answer
    x = 511.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.