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Finding the Fourth Proportional to 326.88, 452.24 and 314.88

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Solution

The fourth proportional to 326.88, 452.24 and 314.88 is: 435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.88 : 452.24 = 314.88 : x
  2. Step 2: Convert to fraction form
    326.88/452.24 = 314.88/x
  3. Step 3: Cross multiply
    326.88x = 452.24 × 314.88
  4. Step 4: Simplify right side
    326.88x = 142,401.33
  5. Step 5: Solve for x
    x = 142,401.33/326.88
  6. Step 6: Final answer
    x = 435.64

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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.