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Finding the Fourth Proportional to 423.40, 584.31 and 236.89

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Solution

The fourth proportional to 423.40, 584.31 and 236.89 is: 326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.40 : 584.31 = 236.89 : x
  2. Step 2: Convert to fraction form
    423.40/584.31 = 236.89/x
  3. Step 3: Cross multiply
    423.40x = 584.31 × 236.89
  4. Step 4: Simplify right side
    423.40x = 138,417.20
  5. Step 5: Solve for x
    x = 138,417.20/423.40
  6. Step 6: Final answer
    x = 326.92

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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.