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Finding the Fourth Proportional to 334.09, 501.85 and 323.16

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Solution

The fourth proportional to 334.09, 501.85 and 323.16 is: 485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.09 : 501.85 = 323.16 : x
  2. Step 2: Convert to fraction form
    334.09/501.85 = 323.16/x
  3. Step 3: Cross multiply
    334.09x = 501.85 × 323.16
  4. Step 4: Simplify right side
    334.09x = 162,177.85
  5. Step 5: Solve for x
    x = 162,177.85/334.09
  6. Step 6: Final answer
    x = 485.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.