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Finding the Fourth Proportional to 571.98, 789.33 and 310.00

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Solution

The fourth proportional to 571.98, 789.33 and 310.00 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.98 : 789.33 = 310.00 : x
  2. Step 2: Convert to fraction form
    571.98/789.33 = 310.00/x
  3. Step 3: Cross multiply
    571.98x = 789.33 × 310.00
  4. Step 4: Simplify right side
    571.98x = 244,691.49
  5. Step 5: Solve for x
    x = 244,691.49/571.98
  6. Step 6: Final answer
    x = 427.80

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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.