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Finding the Fourth Proportional to 415.77, 574.41 and 351.37

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Solution

The fourth proportional to 415.77, 574.41 and 351.37 is: 485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.77 : 574.41 = 351.37 : x
  2. Step 2: Convert to fraction form
    415.77/574.41 = 351.37/x
  3. Step 3: Cross multiply
    415.77x = 574.41 × 351.37
  4. Step 4: Simplify right side
    415.77x = 201,830.44
  5. Step 5: Solve for x
    x = 201,830.44/415.77
  6. Step 6: Final answer
    x = 485.44

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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.