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Finding the Fourth Proportional to 415.97, 623.40 and 233.25

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Solution

The fourth proportional to 415.97, 623.40 and 233.25 is: 349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.97 : 623.40 = 233.25 : x
  2. Step 2: Convert to fraction form
    415.97/623.40 = 233.25/x
  3. Step 3: Cross multiply
    415.97x = 623.40 × 233.25
  4. Step 4: Simplify right side
    415.97x = 145,408.05
  5. Step 5: Solve for x
    x = 145,408.05/415.97
  6. Step 6: Final answer
    x = 349.57

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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.