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Finding the Fourth Proportional to 326.80, 450.75 and 210.25

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Solution

The fourth proportional to 326.80, 450.75 and 210.25 is: 289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.80 : 450.75 = 210.25 : x
  2. Step 2: Convert to fraction form
    326.80/450.75 = 210.25/x
  3. Step 3: Cross multiply
    326.80x = 450.75 × 210.25
  4. Step 4: Simplify right side
    326.80x = 94,770.19
  5. Step 5: Solve for x
    x = 94,770.19/326.80
  6. Step 6: Final answer
    x = 289.99

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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.