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Finding the Fourth Proportional to 415.78, 573.75 and 229.23

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Solution

The fourth proportional to 415.78, 573.75 and 229.23 is: 316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 573.75 = 229.23 : x
  2. Step 2: Convert to fraction form
    415.78/573.75 = 229.23/x
  3. Step 3: Cross multiply
    415.78x = 573.75 × 229.23
  4. Step 4: Simplify right side
    415.78x = 131,520.71
  5. Step 5: Solve for x
    x = 131,520.71/415.78
  6. Step 6: Final answer
    x = 316.32

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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.