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Finding the Fourth Proportional to 408.67, 610.09 and 347.16

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Solution

The fourth proportional to 408.67, 610.09 and 347.16 is: 518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.67 : 610.09 = 347.16 : x
  2. Step 2: Convert to fraction form
    408.67/610.09 = 347.16/x
  3. Step 3: Cross multiply
    408.67x = 610.09 × 347.16
  4. Step 4: Simplify right side
    408.67x = 211,798.84
  5. Step 5: Solve for x
    x = 211,798.84/408.67
  6. Step 6: Final answer
    x = 518.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.