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Finding the Fourth Proportional to 965.58, 1,448.37 and 235.16

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Solution

The fourth proportional to 965.58, 1,448.37 and 235.16 is: 352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.58 : 1,448.37 = 235.16 : x
  2. Step 2: Convert to fraction form
    965.58/1,448.37 = 235.16/x
  3. Step 3: Cross multiply
    965.58x = 1,448.37 × 235.16
  4. Step 4: Simplify right side
    965.58x = 340,591.45
  5. Step 5: Solve for x
    x = 340,591.45/965.58
  6. Step 6: Final answer
    x = 352.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.