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Finding the Fourth Proportional to 415.86, 573.89 and 229.34

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Solution

The fourth proportional to 415.86, 573.89 and 229.34 is: 316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.86 : 573.89 = 229.34 : x
  2. Step 2: Convert to fraction form
    415.86/573.89 = 229.34/x
  3. Step 3: Cross multiply
    415.86x = 573.89 × 229.34
  4. Step 4: Simplify right side
    415.86x = 131,615.93
  5. Step 5: Solve for x
    x = 131,615.93/415.86
  6. Step 6: Final answer
    x = 316.49

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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.