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Finding the Fourth Proportional to 415.89, 573.82 and 268.34

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Solution

The fourth proportional to 415.89, 573.82 and 268.34 is: 370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.89 : 573.82 = 268.34 : x
  2. Step 2: Convert to fraction form
    415.89/573.82 = 268.34/x
  3. Step 3: Cross multiply
    415.89x = 573.82 × 268.34
  4. Step 4: Simplify right side
    415.89x = 153,978.86
  5. Step 5: Solve for x
    x = 153,978.86/415.89
  6. Step 6: Final answer
    x = 370.24

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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.