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Finding the Fourth Proportional to 427.29, 589.66 and 230.80

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Solution

The fourth proportional to 427.29, 589.66 and 230.80 is: 318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.29 : 589.66 = 230.80 : x
  2. Step 2: Convert to fraction form
    427.29/589.66 = 230.80/x
  3. Step 3: Cross multiply
    427.29x = 589.66 × 230.80
  4. Step 4: Simplify right side
    427.29x = 136,093.74
  5. Step 5: Solve for x
    x = 136,093.74/427.29
  6. Step 6: Final answer
    x = 318.51

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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.