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Finding the Fourth Proportional to 427.92, 589.80 and 335.04

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Solution

The fourth proportional to 427.92, 589.80 and 335.04 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.92 : 589.80 = 335.04 : x
  2. Step 2: Convert to fraction form
    427.92/589.80 = 335.04/x
  3. Step 3: Cross multiply
    427.92x = 589.80 × 335.04
  4. Step 4: Simplify right side
    427.92x = 197,606.59
  5. Step 5: Solve for x
    x = 197,606.59/427.92
  6. Step 6: Final answer
    x = 461.78

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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.