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Finding the Fourth Proportional to 415.28, 623.22 and 199.01

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Solution

The fourth proportional to 415.28, 623.22 and 199.01 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.28 : 623.22 = 199.01 : x
  2. Step 2: Convert to fraction form
    415.28/623.22 = 199.01/x
  3. Step 3: Cross multiply
    415.28x = 623.22 × 199.01
  4. Step 4: Simplify right side
    415.28x = 124,024.88
  5. Step 5: Solve for x
    x = 124,024.88/415.28
  6. Step 6: Final answer
    x = 298.66

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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.