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Finding the Fourth Proportional to 483.68, 667.32 and 328.16

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Solution

The fourth proportional to 483.68, 667.32 and 328.16 is: 452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.68 : 667.32 = 328.16 : x
  2. Step 2: Convert to fraction form
    483.68/667.32 = 328.16/x
  3. Step 3: Cross multiply
    483.68x = 667.32 × 328.16
  4. Step 4: Simplify right side
    483.68x = 218,987.73
  5. Step 5: Solve for x
    x = 218,987.73/483.68
  6. Step 6: Final answer
    x = 452.75

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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.