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Finding the Fourth Proportional to 819.84, 1,230.30 and 332.94

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Solution

The fourth proportional to 819.84, 1,230.30 and 332.94 is: 499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.84 : 1,230.30 = 332.94 : x
  2. Step 2: Convert to fraction form
    819.84/1,230.30 = 332.94/x
  3. Step 3: Cross multiply
    819.84x = 1,230.30 × 332.94
  4. Step 4: Simplify right side
    819.84x = 409,616.08
  5. Step 5: Solve for x
    x = 409,616.08/819.84
  6. Step 6: Final answer
    x = 499.63

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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.