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Finding the Fourth Proportional to 423.82, 583.97 and 325.41

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Solution

The fourth proportional to 423.82, 583.97 and 325.41 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.82 : 583.97 = 325.41 : x
  2. Step 2: Convert to fraction form
    423.82/583.97 = 325.41/x
  3. Step 3: Cross multiply
    423.82x = 583.97 × 325.41
  4. Step 4: Simplify right side
    423.82x = 190,029.68
  5. Step 5: Solve for x
    x = 190,029.68/423.82
  6. Step 6: Final answer
    x = 448.37

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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.