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Finding the Fourth Proportional to 448.97, 619.83 and 324.50

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Solution

The fourth proportional to 448.97, 619.83 and 324.50 is: 447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.97 : 619.83 = 324.50 : x
  2. Step 2: Convert to fraction form
    448.97/619.83 = 324.50/x
  3. Step 3: Cross multiply
    448.97x = 619.83 × 324.50
  4. Step 4: Simplify right side
    448.97x = 201,131.74
  5. Step 5: Solve for x
    x = 201,131.74/448.97
  6. Step 6: Final answer
    x = 447.99

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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.