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Finding the Fourth Proportional to 415.87, 623.39 and 199.21

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Solution

The fourth proportional to 415.87, 623.39 and 199.21 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.87 : 623.39 = 199.21 : x
  2. Step 2: Convert to fraction form
    415.87/623.39 = 199.21/x
  3. Step 3: Cross multiply
    415.87x = 623.39 × 199.21
  4. Step 4: Simplify right side
    415.87x = 124,184.53
  5. Step 5: Solve for x
    x = 124,184.53/415.87
  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.