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Finding the Fourth Proportional to 448.36, 618.56 and 323.75

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Solution

The fourth proportional to 448.36, 618.56 and 323.75 is: 446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.36 : 618.56 = 323.75 : x
  2. Step 2: Convert to fraction form
    448.36/618.56 = 323.75/x
  3. Step 3: Cross multiply
    448.36x = 618.56 × 323.75
  4. Step 4: Simplify right side
    448.36x = 200,258.80
  5. Step 5: Solve for x
    x = 200,258.80/448.36
  6. Step 6: Final answer
    x = 446.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.