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Finding the Fourth Proportional to 415.83, 573.86 and 229.32

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Solution

The fourth proportional to 415.83, 573.86 and 229.32 is: 316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.83 : 573.86 = 229.32 : x
  2. Step 2: Convert to fraction form
    415.83/573.86 = 229.32/x
  3. Step 3: Cross multiply
    415.83x = 573.86 × 229.32
  4. Step 4: Simplify right side
    415.83x = 131,596.43
  5. Step 5: Solve for x
    x = 131,596.43/415.83
  6. Step 6: Final answer
    x = 316.47

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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.