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Finding the Fourth Proportional to 423.46, 584.34 and 234.39

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Solution

The fourth proportional to 423.46, 584.34 and 234.39 is: 323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 584.34 = 234.39 : x
  2. Step 2: Convert to fraction form
    423.46/584.34 = 234.39/x
  3. Step 3: Cross multiply
    423.46x = 584.34 × 234.39
  4. Step 4: Simplify right side
    423.46x = 136,963.45
  5. Step 5: Solve for x
    x = 136,963.45/423.46
  6. Step 6: Final answer
    x = 323.44

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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.