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Finding the Fourth Proportional to 539.83, 809.16 and 214.84

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Solution

The fourth proportional to 539.83, 809.16 and 214.84 is: 322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.83 : 809.16 = 214.84 : x
  2. Step 2: Convert to fraction form
    539.83/809.16 = 214.84/x
  3. Step 3: Cross multiply
    539.83x = 809.16 × 214.84
  4. Step 4: Simplify right side
    539.83x = 173,839.93
  5. Step 5: Solve for x
    x = 173,839.93/539.83
  6. Step 6: Final answer
    x = 322.03

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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.