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Finding the Fourth Proportional to 539.68, 810.60 and 323.68

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Solution

The fourth proportional to 539.68, 810.60 and 323.68 is: 486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.68 : 810.60 = 323.68 : x
  2. Step 2: Convert to fraction form
    539.68/810.60 = 323.68/x
  3. Step 3: Cross multiply
    539.68x = 810.60 × 323.68
  4. Step 4: Simplify right side
    539.68x = 262,375.01
  5. Step 5: Solve for x
    x = 262,375.01/539.68
  6. Step 6: Final answer
    x = 486.17

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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.