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Finding the Fourth Proportional to 569.89, 853.99 and 395.84

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Solution

The fourth proportional to 569.89, 853.99 and 395.84 is: 593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.89 : 853.99 = 395.84 : x
  2. Step 2: Convert to fraction form
    569.89/853.99 = 395.84/x
  3. Step 3: Cross multiply
    569.89x = 853.99 × 395.84
  4. Step 4: Simplify right side
    569.89x = 338,041.97
  5. Step 5: Solve for x
    x = 338,041.97/569.89
  6. Step 6: Final answer
    x = 593.18

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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.