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Finding the Fourth Proportional to 416.03, 623.99 and 199.49

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Solution

The fourth proportional to 416.03, 623.99 and 199.49 is: 299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.03 : 623.99 = 199.49 : x
  2. Step 2: Convert to fraction form
    416.03/623.99 = 199.49/x
  3. Step 3: Cross multiply
    416.03x = 623.99 × 199.49
  4. Step 4: Simplify right side
    416.03x = 124,477.14
  5. Step 5: Solve for x
    x = 124,477.14/416.03
  6. Step 6: Final answer
    x = 299.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.