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Finding the Fourth Proportional to 965.42, 1,448.27 and 388.25

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Solution

The fourth proportional to 965.42, 1,448.27 and 388.25 is: 582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.42 : 1,448.27 = 388.25 : x
  2. Step 2: Convert to fraction form
    965.42/1,448.27 = 388.25/x
  3. Step 3: Cross multiply
    965.42x = 1,448.27 × 388.25
  4. Step 4: Simplify right side
    965.42x = 562,288.89
  5. Step 5: Solve for x
    x = 562,288.89/965.42
  6. Step 6: Final answer
    x = 582.43

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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.