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Finding the Fourth Proportional to 415.69, 573.67 and 229.19

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Solution

The fourth proportional to 415.69, 573.67 and 229.19 is: 316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.69 : 573.67 = 229.19 : x
  2. Step 2: Convert to fraction form
    415.69/573.67 = 229.19/x
  3. Step 3: Cross multiply
    415.69x = 573.67 × 229.19
  4. Step 4: Simplify right side
    415.69x = 131,478.78
  5. Step 5: Solve for x
    x = 131,478.78/415.69
  6. Step 6: Final answer
    x = 316.29

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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.