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Finding the Fourth Proportional to 260.76, 359.70 and 233.04

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Solution

The fourth proportional to 260.76, 359.70 and 233.04 is: 321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 359.70 = 233.04 : x
  2. Step 2: Convert to fraction form
    260.76/359.70 = 233.04/x
  3. Step 3: Cross multiply
    260.76x = 359.70 × 233.04
  4. Step 4: Simplify right side
    260.76x = 83,824.49
  5. Step 5: Solve for x
    x = 83,824.49/260.76
  6. Step 6: Final answer
    x = 321.46

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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.