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Finding the Fourth Proportional to 416.37, 623.75 and 199.29

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Solution

The fourth proportional to 416.37, 623.75 and 199.29 is: 298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.37 : 623.75 = 199.29 : x
  2. Step 2: Convert to fraction form
    416.37/623.75 = 199.29/x
  3. Step 3: Cross multiply
    416.37x = 623.75 × 199.29
  4. Step 4: Simplify right side
    416.37x = 124,306.14
  5. Step 5: Solve for x
    x = 124,306.14/416.37
  6. Step 6: Final answer
    x = 298.55

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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.