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Finding the Fourth Proportional to 416.53, 622.25 and 299.98

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Solution

The fourth proportional to 416.53, 622.25 and 299.98 is: 448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 622.25 = 299.98 : x
  2. Step 2: Convert to fraction form
    416.53/622.25 = 299.98/x
  3. Step 3: Cross multiply
    416.53x = 622.25 × 299.98
  4. Step 4: Simplify right side
    416.53x = 186,662.56
  5. Step 5: Solve for x
    x = 186,662.56/416.53
  6. Step 6: Final answer
    x = 448.14

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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.