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Finding the Fourth Proportional to 415.78, 623.94 and 199.60

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Solution

The fourth proportional to 415.78, 623.94 and 199.60 is: 299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 623.94 = 199.60 : x
  2. Step 2: Convert to fraction form
    415.78/623.94 = 199.60/x
  3. Step 3: Cross multiply
    415.78x = 623.94 × 199.60
  4. Step 4: Simplify right side
    415.78x = 124,538.42
  5. Step 5: Solve for x
    x = 124,538.42/415.78
  6. Step 6: Final answer
    x = 299.53

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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.