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Finding the Fourth Proportional to 423.79, 584.75 and 237.26

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Solution

The fourth proportional to 423.79, 584.75 and 237.26 is: 327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.79 : 584.75 = 237.26 : x
  2. Step 2: Convert to fraction form
    423.79/584.75 = 237.26/x
  3. Step 3: Cross multiply
    423.79x = 584.75 × 237.26
  4. Step 4: Simplify right side
    423.79x = 138,737.79
  5. Step 5: Solve for x
    x = 138,737.79/423.79
  6. Step 6: Final answer
    x = 327.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.