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Finding the Fourth Proportional to 326.54, 450.70 and 216.03

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Solution

The fourth proportional to 326.54, 450.70 and 216.03 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.54 : 450.70 = 216.03 : x
  2. Step 2: Convert to fraction form
    326.54/450.70 = 216.03/x
  3. Step 3: Cross multiply
    326.54x = 450.70 × 216.03
  4. Step 4: Simplify right side
    326.54x = 97,364.72
  5. Step 5: Solve for x
    x = 97,364.72/326.54
  6. Step 6: Final answer
    x = 298.17

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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.