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Finding the Fourth Proportional to 539.03, 808.09 and 214.34

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Solution

The fourth proportional to 539.03, 808.09 and 214.34 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.03 : 808.09 = 214.34 : x
  2. Step 2: Convert to fraction form
    539.03/808.09 = 214.34/x
  3. Step 3: Cross multiply
    539.03x = 808.09 × 214.34
  4. Step 4: Simplify right side
    539.03x = 173,201.43
  5. Step 5: Solve for x
    x = 173,201.43/539.03
  6. Step 6: Final answer
    x = 321.32

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