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Finding the Fourth Proportional to 819.58, 1,229.59 and 357.40

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Solution

The fourth proportional to 819.58, 1,229.59 and 357.40 is: 536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.58 : 1,229.59 = 357.40 : x
  2. Step 2: Convert to fraction form
    819.58/1,229.59 = 357.40/x
  3. Step 3: Cross multiply
    819.58x = 1,229.59 × 357.40
  4. Step 4: Simplify right side
    819.58x = 439,452.69
  5. Step 5: Solve for x
    x = 439,452.69/819.58
  6. Step 6: Final answer
    x = 536.19

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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.