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Finding the Fourth Proportional to 415.17, 623.16 and 198.72

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Solution

The fourth proportional to 415.17, 623.16 and 198.72 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.17 : 623.16 = 198.72 : x
  2. Step 2: Convert to fraction form
    415.17/623.16 = 198.72/x
  3. Step 3: Cross multiply
    415.17x = 623.16 × 198.72
  4. Step 4: Simplify right side
    415.17x = 123,834.36
  5. Step 5: Solve for x
    x = 123,834.36/415.17
  6. Step 6: Final answer
    x = 298.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.