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Finding the Fourth Proportional to 819.85, 1,230.18 and 357.56

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Solution

The fourth proportional to 819.85, 1,230.18 and 357.56 is: 536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.85 : 1,230.18 = 357.56 : x
  2. Step 2: Convert to fraction form
    819.85/1,230.18 = 357.56/x
  3. Step 3: Cross multiply
    819.85x = 1,230.18 × 357.56
  4. Step 4: Simplify right side
    819.85x = 439,861.37
  5. Step 5: Solve for x
    x = 439,861.37/819.85
  6. Step 6: Final answer
    x = 536.52

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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.