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Finding the Fourth Proportional to 415.29, 623.16 and 198.89

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Solution

The fourth proportional to 415.29, 623.16 and 198.89 is: 298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.29 : 623.16 = 198.89 : x
  2. Step 2: Convert to fraction form
    415.29/623.16 = 198.89/x
  3. Step 3: Cross multiply
    415.29x = 623.16 × 198.89
  4. Step 4: Simplify right side
    415.29x = 123,937.18
  5. Step 5: Solve for x
    x = 123,937.18/415.29
  6. Step 6: Final answer
    x = 298.44

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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.