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Finding the Fourth Proportional to 571.67, 857.30 and 279.30

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Solution

The fourth proportional to 571.67, 857.30 and 279.30 is: 418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.67 : 857.30 = 279.30 : x
  2. Step 2: Convert to fraction form
    571.67/857.30 = 279.30/x
  3. Step 3: Cross multiply
    571.67x = 857.30 × 279.30
  4. Step 4: Simplify right side
    571.67x = 239,442.49
  5. Step 5: Solve for x
    x = 239,442.49/571.67
  6. Step 6: Final answer
    x = 418.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.