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Finding the Fourth Proportional to 415.72, 573.42 and 268.54

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Solution

The fourth proportional to 415.72, 573.42 and 268.54 is: 370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.72 : 573.42 = 268.54 : x
  2. Step 2: Convert to fraction form
    415.72/573.42 = 268.54/x
  3. Step 3: Cross multiply
    415.72x = 573.42 × 268.54
  4. Step 4: Simplify right side
    415.72x = 153,986.21
  5. Step 5: Solve for x
    x = 153,986.21/415.72
  6. Step 6: Final answer
    x = 370.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.