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Finding the Fourth Proportional to 416.89, 625.43 and 128.35

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Solution

The fourth proportional to 416.89, 625.43 and 128.35 is: 192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.89 : 625.43 = 128.35 : x
  2. Step 2: Convert to fraction form
    416.89/625.43 = 128.35/x
  3. Step 3: Cross multiply
    416.89x = 625.43 × 128.35
  4. Step 4: Simplify right side
    416.89x = 80,273.94
  5. Step 5: Solve for x
    x = 80,273.94/416.89
  6. Step 6: Final answer
    x = 192.55

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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.