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Finding the Fourth Proportional to 423.25, 584.10 and 268.27

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Solution

The fourth proportional to 423.25, 584.10 and 268.27 is: 370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.25 : 584.10 = 268.27 : x
  2. Step 2: Convert to fraction form
    423.25/584.10 = 268.27/x
  3. Step 3: Cross multiply
    423.25x = 584.10 × 268.27
  4. Step 4: Simplify right side
    423.25x = 156,696.51
  5. Step 5: Solve for x
    x = 156,696.51/423.25
  6. Step 6: Final answer
    x = 370.22

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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.