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Finding the Fourth Proportional to 326.60, 450.86 and 214.62

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Solution

The fourth proportional to 326.60, 450.86 and 214.62 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.60 : 450.86 = 214.62 : x
  2. Step 2: Convert to fraction form
    326.60/450.86 = 214.62/x
  3. Step 3: Cross multiply
    326.60x = 450.86 × 214.62
  4. Step 4: Simplify right side
    326.60x = 96,763.57
  5. Step 5: Solve for x
    x = 96,763.57/326.60
  6. Step 6: Final answer
    x = 296.28

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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.