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Finding the Fourth Proportional to 326.57, 451.26 and 233.16

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Solution

The fourth proportional to 326.57, 451.26 and 233.16 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.57 : 451.26 = 233.16 : x
  2. Step 2: Convert to fraction form
    326.57/451.26 = 233.16/x
  3. Step 3: Cross multiply
    326.57x = 451.26 × 233.16
  4. Step 4: Simplify right side
    326.57x = 105,212.36
  5. Step 5: Solve for x
    x = 105,212.36/326.57
  6. Step 6: Final answer
    x = 322.17

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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.