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Finding the Fourth Proportional to 571.75, 789.01 and 309.76

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Solution

The fourth proportional to 571.75, 789.01 and 309.76 is: 427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.75 : 789.01 = 309.76 : x
  2. Step 2: Convert to fraction form
    571.75/789.01 = 309.76/x
  3. Step 3: Cross multiply
    571.75x = 789.01 × 309.76
  4. Step 4: Simplify right side
    571.75x = 244,403.74
  5. Step 5: Solve for x
    x = 244,403.74/571.75
  6. Step 6: Final answer
    x = 427.47

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