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Finding the Fourth Proportional to 557.65, 769.57 and 336.56

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Solution

The fourth proportional to 557.65, 769.57 and 336.56 is: 464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.65 : 769.57 = 336.56 : x
  2. Step 2: Convert to fraction form
    557.65/769.57 = 336.56/x
  3. Step 3: Cross multiply
    557.65x = 769.57 × 336.56
  4. Step 4: Simplify right side
    557.65x = 259,004.80
  5. Step 5: Solve for x
    x = 259,004.80/557.65
  6. Step 6: Final answer
    x = 464.46

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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.