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Finding the Fourth Proportional to 423.17, 583.41 and 323.65

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Solution

The fourth proportional to 423.17, 583.41 and 323.65 is: 446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.17 : 583.41 = 323.65 : x
  2. Step 2: Convert to fraction form
    423.17/583.41 = 323.65/x
  3. Step 3: Cross multiply
    423.17x = 583.41 × 323.65
  4. Step 4: Simplify right side
    423.17x = 188,817.73
  5. Step 5: Solve for x
    x = 188,817.73/423.17
  6. Step 6: Final answer
    x = 446.20

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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.