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Finding the Fourth Proportional to 571.80, 789.08 and 309.81

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Solution

The fourth proportional to 571.80, 789.08 and 309.81 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.80 : 789.08 = 309.81 : x
  2. Step 2: Convert to fraction form
    571.80/789.08 = 309.81/x
  3. Step 3: Cross multiply
    571.80x = 789.08 × 309.81
  4. Step 4: Simplify right side
    571.80x = 244,464.87
  5. Step 5: Solve for x
    x = 244,464.87/571.80
  6. Step 6: Final answer
    x = 427.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.