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Finding the Fourth Proportional to 813.49, 1,220.45 and 326.88

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Solution

The fourth proportional to 813.49, 1,220.45 and 326.88 is: 490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.49 : 1,220.45 = 326.88 : x
  2. Step 2: Convert to fraction form
    813.49/1,220.45 = 326.88/x
  3. Step 3: Cross multiply
    813.49x = 1,220.45 × 326.88
  4. Step 4: Simplify right side
    813.49x = 398,941.51
  5. Step 5: Solve for x
    x = 398,941.51/813.49
  6. Step 6: Final answer
    x = 490.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.