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Finding the Fourth Proportional to 557.69, 769.92 and 389.89

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Solution

The fourth proportional to 557.69, 769.92 and 389.89 is: 538.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 769.92 = 389.89 : x
  2. Step 2: Convert to fraction form
    557.69/769.92 = 389.89/x
  3. Step 3: Cross multiply
    557.69x = 769.92 × 389.89
  4. Step 4: Simplify right side
    557.69x = 300,180.26
  5. Step 5: Solve for x
    x = 300,180.26/557.69
  6. Step 6: Final answer
    x = 538.26

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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.