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Finding the Fourth Proportional to 326.50, 450.57 and 223.18

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Solution

The fourth proportional to 326.50, 450.57 and 223.18 is: 307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 450.57 = 223.18 : x
  2. Step 2: Convert to fraction form
    326.50/450.57 = 223.18/x
  3. Step 3: Cross multiply
    326.50x = 450.57 × 223.18
  4. Step 4: Simplify right side
    326.50x = 100,558.21
  5. Step 5: Solve for x
    x = 100,558.21/326.50
  6. Step 6: Final answer
    x = 307.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.