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Finding the Fourth Proportional to 416.96, 626.16 and 396.80

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Solution

The fourth proportional to 416.96, 626.16 and 396.80 is: 595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 626.16 = 396.80 : x
  2. Step 2: Convert to fraction form
    416.96/626.16 = 396.80/x
  3. Step 3: Cross multiply
    416.96x = 626.16 × 396.80
  4. Step 4: Simplify right side
    416.96x = 248,460.29
  5. Step 5: Solve for x
    x = 248,460.29/416.96
  6. Step 6: Final answer
    x = 595.89

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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.