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Finding the Fourth Proportional to 820.45, 1,230.72 and 300.52

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Solution

The fourth proportional to 820.45, 1,230.72 and 300.52 is: 450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.45 : 1,230.72 = 300.52 : x
  2. Step 2: Convert to fraction form
    820.45/1,230.72 = 300.52/x
  3. Step 3: Cross multiply
    820.45x = 1,230.72 × 300.52
  4. Step 4: Simplify right side
    820.45x = 369,855.97
  5. Step 5: Solve for x
    x = 369,855.97/820.45
  6. Step 6: Final answer
    x = 450.80

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