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Finding the Fourth Proportional to 415.82, 623.16 and 199.02

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Solution

The fourth proportional to 415.82, 623.16 and 199.02 is: 298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.82 : 623.16 = 199.02 : x
  2. Step 2: Convert to fraction form
    415.82/623.16 = 199.02/x
  3. Step 3: Cross multiply
    415.82x = 623.16 × 199.02
  4. Step 4: Simplify right side
    415.82x = 124,021.30
  5. Step 5: Solve for x
    x = 124,021.30/415.82
  6. Step 6: Final answer
    x = 298.26

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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.