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Finding the Fourth Proportional to 813.53, 1,220.46 and 326.58

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Solution

The fourth proportional to 813.53, 1,220.46 and 326.58 is: 489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.53 : 1,220.46 = 326.58 : x
  2. Step 2: Convert to fraction form
    813.53/1,220.46 = 326.58/x
  3. Step 3: Cross multiply
    813.53x = 1,220.46 × 326.58
  4. Step 4: Simplify right side
    813.53x = 398,577.83
  5. Step 5: Solve for x
    x = 398,577.83/813.53
  6. Step 6: Final answer
    x = 489.94

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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.