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Finding the Fourth Proportional to 965.60, 1,448.02 and 349.32

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Solution

The fourth proportional to 965.60, 1,448.02 and 349.32 is: 523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.60 : 1,448.02 = 349.32 : x
  2. Step 2: Convert to fraction form
    965.60/1,448.02 = 349.32/x
  3. Step 3: Cross multiply
    965.60x = 1,448.02 × 349.32
  4. Step 4: Simplify right side
    965.60x = 505,822.35
  5. Step 5: Solve for x
    x = 505,822.35/965.60
  6. Step 6: Final answer
    x = 523.84

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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.