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Finding the Fourth Proportional to 327.58, 452.64 and 262.60

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Solution

The fourth proportional to 327.58, 452.64 and 262.60 is: 362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.58 : 452.64 = 262.60 : x
  2. Step 2: Convert to fraction form
    327.58/452.64 = 262.60/x
  3. Step 3: Cross multiply
    327.58x = 452.64 × 262.60
  4. Step 4: Simplify right side
    327.58x = 118,863.26
  5. Step 5: Solve for x
    x = 118,863.26/327.58
  6. Step 6: Final answer
    x = 362.85

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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.