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Finding the Fourth Proportional to 488.37, 732.96 and 368.09

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Solution

The fourth proportional to 488.37, 732.96 and 368.09 is: 552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.37 : 732.96 = 368.09 : x
  2. Step 2: Convert to fraction form
    488.37/732.96 = 368.09/x
  3. Step 3: Cross multiply
    488.37x = 732.96 × 368.09
  4. Step 4: Simplify right side
    488.37x = 269,791.58
  5. Step 5: Solve for x
    x = 269,791.58/488.37
  6. Step 6: Final answer
    x = 552.43

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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.