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Finding the Fourth Proportional to 539.67, 809.72 and 215.27

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Solution

The fourth proportional to 539.67, 809.72 and 215.27 is: 322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.67 : 809.72 = 215.27 : x
  2. Step 2: Convert to fraction form
    539.67/809.72 = 215.27/x
  3. Step 3: Cross multiply
    539.67x = 809.72 × 215.27
  4. Step 4: Simplify right side
    539.67x = 174,308.42
  5. Step 5: Solve for x
    x = 174,308.42/539.67
  6. Step 6: Final answer
    x = 322.99

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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.