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Finding the Fourth Proportional to 415.74, 623.22 and 199.20

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Solution

The fourth proportional to 415.74, 623.22 and 199.20 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.74 : 623.22 = 199.20 : x
  2. Step 2: Convert to fraction form
    415.74/623.22 = 199.20/x
  3. Step 3: Cross multiply
    415.74x = 623.22 × 199.20
  4. Step 4: Simplify right side
    415.74x = 124,145.42
  5. Step 5: Solve for x
    x = 124,145.42/415.74
  6. Step 6: Final answer
    x = 298.61

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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.