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Finding the Fourth Proportional to 423.87, 584.96 and 237.37

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Solution

The fourth proportional to 423.87, 584.96 and 237.37 is: 327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.87 : 584.96 = 237.37 : x
  2. Step 2: Convert to fraction form
    423.87/584.96 = 237.37/x
  3. Step 3: Cross multiply
    423.87x = 584.96 × 237.37
  4. Step 4: Simplify right side
    423.87x = 138,849.31
  5. Step 5: Solve for x
    x = 138,849.31/423.87
  6. Step 6: Final answer
    x = 327.58

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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.