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Finding the Fourth Proportional to 415.41, 622.75 and 233.07

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Solution

The fourth proportional to 415.41, 622.75 and 233.07 is: 349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.41 : 622.75 = 233.07 : x
  2. Step 2: Convert to fraction form
    415.41/622.75 = 233.07/x
  3. Step 3: Cross multiply
    415.41x = 622.75 × 233.07
  4. Step 4: Simplify right side
    415.41x = 145,144.34
  5. Step 5: Solve for x
    x = 145,144.34/415.41
  6. Step 6: Final answer
    x = 349.40

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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.