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Finding the Fourth Proportional to 415.86, 623.78 and 199.29

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Solution

The fourth proportional to 415.86, 623.78 and 199.29 is: 298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.86 : 623.78 = 199.29 : x
  2. Step 2: Convert to fraction form
    415.86/623.78 = 199.29/x
  3. Step 3: Cross multiply
    415.86x = 623.78 × 199.29
  4. Step 4: Simplify right side
    415.86x = 124,310.50
  5. Step 5: Solve for x
    x = 124,310.50/415.86
  6. Step 6: Final answer
    x = 298.93

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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.