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Finding the Fourth Proportional to 427.91, 589.82 and 334.49

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Solution

The fourth proportional to 427.91, 589.82 and 334.49 is: 461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.91 : 589.82 = 334.49 : x
  2. Step 2: Convert to fraction form
    427.91/589.82 = 334.49/x
  3. Step 3: Cross multiply
    427.91x = 589.82 × 334.49
  4. Step 4: Simplify right side
    427.91x = 197,288.89
  5. Step 5: Solve for x
    x = 197,288.89/427.91
  6. Step 6: Final answer
    x = 461.05

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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.