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Finding the Fourth Proportional to 539.10, 808.84 and 214.50

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Solution

The fourth proportional to 539.10, 808.84 and 214.50 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.10 : 808.84 = 214.50 : x
  2. Step 2: Convert to fraction form
    539.10/808.84 = 214.50/x
  3. Step 3: Cross multiply
    539.10x = 808.84 × 214.50
  4. Step 4: Simplify right side
    539.10x = 173,496.18
  5. Step 5: Solve for x
    x = 173,496.18/539.10
  6. Step 6: Final answer
    x = 321.83

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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.