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Finding the Fourth Proportional to 619.09, 854.43 and 357.05

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Solution

The fourth proportional to 619.09, 854.43 and 357.05 is: 492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.09 : 854.43 = 357.05 : x
  2. Step 2: Convert to fraction form
    619.09/854.43 = 357.05/x
  3. Step 3: Cross multiply
    619.09x = 854.43 × 357.05
  4. Step 4: Simplify right side
    619.09x = 305,074.23
  5. Step 5: Solve for x
    x = 305,074.23/619.09
  6. Step 6: Final answer
    x = 492.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.