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Finding the Fourth Proportional to 448.64, 618.66 and 324.04

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Solution

The fourth proportional to 448.64, 618.66 and 324.04 is: 446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.64 : 618.66 = 324.04 : x
  2. Step 2: Convert to fraction form
    448.64/618.66 = 324.04/x
  3. Step 3: Cross multiply
    448.64x = 618.66 × 324.04
  4. Step 4: Simplify right side
    448.64x = 200,470.59
  5. Step 5: Solve for x
    x = 200,470.59/448.64
  6. Step 6: Final answer
    x = 446.84

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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.