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Finding the Fourth Proportional to 427.27, 589.64 and 230.79

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Solution

The fourth proportional to 427.27, 589.64 and 230.79 is: 318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.27 : 589.64 = 230.79 : x
  2. Step 2: Convert to fraction form
    427.27/589.64 = 230.79/x
  3. Step 3: Cross multiply
    427.27x = 589.64 × 230.79
  4. Step 4: Simplify right side
    427.27x = 136,079.49
  5. Step 5: Solve for x
    x = 136,079.49/427.27
  6. Step 6: Final answer
    x = 318.48

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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.