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Finding the Fourth Proportional to 260.63, 359.52 and 229.62

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Solution

The fourth proportional to 260.63, 359.52 and 229.62 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.63 : 359.52 = 229.62 : x
  2. Step 2: Convert to fraction form
    260.63/359.52 = 229.62/x
  3. Step 3: Cross multiply
    260.63x = 359.52 × 229.62
  4. Step 4: Simplify right side
    260.63x = 82,550.77
  5. Step 5: Solve for x
    x = 82,550.77/260.63
  6. Step 6: Final answer
    x = 316.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.