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Finding the Fourth Proportional to 539.06, 809.14 and 485.06

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Solution

The fourth proportional to 539.06, 809.14 and 485.06 is: 728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.06 : 809.14 = 485.06 : x
  2. Step 2: Convert to fraction form
    539.06/809.14 = 485.06/x
  3. Step 3: Cross multiply
    539.06x = 809.14 × 485.06
  4. Step 4: Simplify right side
    539.06x = 392,481.45
  5. Step 5: Solve for x
    x = 392,481.45/539.06
  6. Step 6: Final answer
    x = 728.08

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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.