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Finding the Fourth Proportional to 427.36, 589.08 and 323.68

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Solution

The fourth proportional to 427.36, 589.08 and 323.68 is: 446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.36 : 589.08 = 323.68 : x
  2. Step 2: Convert to fraction form
    427.36/589.08 = 323.68/x
  3. Step 3: Cross multiply
    427.36x = 589.08 × 323.68
  4. Step 4: Simplify right side
    427.36x = 190,673.41
  5. Step 5: Solve for x
    x = 190,673.41/427.36
  6. Step 6: Final answer
    x = 446.17

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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.