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Finding the Fourth Proportional to 873.98, 1,311.54 and 326.60

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Solution

The fourth proportional to 873.98, 1,311.54 and 326.60 is: 490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.98 : 1,311.54 = 326.60 : x
  2. Step 2: Convert to fraction form
    873.98/1,311.54 = 326.60/x
  3. Step 3: Cross multiply
    873.98x = 1,311.54 × 326.60
  4. Step 4: Simplify right side
    873.98x = 428,348.96
  5. Step 5: Solve for x
    x = 428,348.96/873.98
  6. Step 6: Final answer
    x = 490.11

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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.