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Finding the Fourth Proportional to 524.69, 789.68 and 395.36

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Solution

The fourth proportional to 524.69, 789.68 and 395.36 is: 595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.69 : 789.68 = 395.36 : x
  2. Step 2: Convert to fraction form
    524.69/789.68 = 395.36/x
  3. Step 3: Cross multiply
    524.69x = 789.68 × 395.36
  4. Step 4: Simplify right side
    524.69x = 312,201.96
  5. Step 5: Solve for x
    x = 312,201.96/524.69
  6. Step 6: Final answer
    x = 595.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.