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Finding the Fourth Proportional to 415.74, 573.66 and 229.21

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Solution

The fourth proportional to 415.74, 573.66 and 229.21 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.74 : 573.66 = 229.21 : x
  2. Step 2: Convert to fraction form
    415.74/573.66 = 229.21/x
  3. Step 3: Cross multiply
    415.74x = 573.66 × 229.21
  4. Step 4: Simplify right side
    415.74x = 131,487.17
  5. Step 5: Solve for x
    x = 131,487.17/415.74
  6. Step 6: Final answer
    x = 316.27

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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.