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Finding the Fourth Proportional to 965.44, 1,448.14 and 235.02

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Solution

The fourth proportional to 965.44, 1,448.14 and 235.02 is: 352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.44 : 1,448.14 = 235.02 : x
  2. Step 2: Convert to fraction form
    965.44/1,448.14 = 235.02/x
  3. Step 3: Cross multiply
    965.44x = 1,448.14 × 235.02
  4. Step 4: Simplify right side
    965.44x = 340,341.86
  5. Step 5: Solve for x
    x = 340,341.86/965.44
  6. Step 6: Final answer
    x = 352.53

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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.