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Finding the Fourth Proportional to 423.46, 584.42 and 257.69

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Solution

The fourth proportional to 423.46, 584.42 and 257.69 is: 355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.46 : 584.42 = 257.69 : x
  2. Step 2: Convert to fraction form
    423.46/584.42 = 257.69/x
  3. Step 3: Cross multiply
    423.46x = 584.42 × 257.69
  4. Step 4: Simplify right side
    423.46x = 150,596.27
  5. Step 5: Solve for x
    x = 150,596.27/423.46
  6. Step 6: Final answer
    x = 355.64

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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.