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Finding the Fourth Proportional to 415.11, 623.97 and 232.86

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Solution

The fourth proportional to 415.11, 623.97 and 232.86 is: 350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.11 : 623.97 = 232.86 : x
  2. Step 2: Convert to fraction form
    415.11/623.97 = 232.86/x
  3. Step 3: Cross multiply
    415.11x = 623.97 × 232.86
  4. Step 4: Simplify right side
    415.11x = 145,297.65
  5. Step 5: Solve for x
    x = 145,297.65/415.11
  6. Step 6: Final answer
    x = 350.02

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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.