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Finding the Fourth Proportional to 539.10, 809.25 and 214.70

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Solution

The fourth proportional to 539.10, 809.25 and 214.70 is: 322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.10 : 809.25 = 214.70 : x
  2. Step 2: Convert to fraction form
    539.10/809.25 = 214.70/x
  3. Step 3: Cross multiply
    539.10x = 809.25 × 214.70
  4. Step 4: Simplify right side
    539.10x = 173,741.93
  5. Step 5: Solve for x
    x = 173,741.93/539.10
  6. Step 6: Final answer
    x = 322.28

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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.