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Finding the Fourth Proportional to 415.24, 623.06 and 184.46

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Solution

The fourth proportional to 415.24, 623.06 and 184.46 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 623.06 = 184.46 : x
  2. Step 2: Convert to fraction form
    415.24/623.06 = 184.46/x
  3. Step 3: Cross multiply
    415.24x = 623.06 × 184.46
  4. Step 4: Simplify right side
    415.24x = 114,929.65
  5. Step 5: Solve for x
    x = 114,929.65/415.24
  6. Step 6: Final answer
    x = 276.78

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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.