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Finding the Fourth Proportional to 423.36, 584.17 and 283.26

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Solution

The fourth proportional to 423.36, 584.17 and 283.26 is: 390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 584.17 = 283.26 : x
  2. Step 2: Convert to fraction form
    423.36/584.17 = 283.26/x
  3. Step 3: Cross multiply
    423.36x = 584.17 × 283.26
  4. Step 4: Simplify right side
    423.36x = 165,471.99
  5. Step 5: Solve for x
    x = 165,471.99/423.36
  6. Step 6: Final answer
    x = 390.85

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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.