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Finding the Fourth Proportional to 415.68, 573.65 and 229.18

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Solution

The fourth proportional to 415.68, 573.65 and 229.18 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.68 : 573.65 = 229.18 : x
  2. Step 2: Convert to fraction form
    415.68/573.65 = 229.18/x
  3. Step 3: Cross multiply
    415.68x = 573.65 × 229.18
  4. Step 4: Simplify right side
    415.68x = 131,469.11
  5. Step 5: Solve for x
    x = 131,469.11/415.68
  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.