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Finding the Fourth Proportional to 557.67, 769.65 and 336.70

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Solution

The fourth proportional to 557.67, 769.65 and 336.70 is: 464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.67 : 769.65 = 336.70 : x
  2. Step 2: Convert to fraction form
    557.67/769.65 = 336.70/x
  3. Step 3: Cross multiply
    557.67x = 769.65 × 336.70
  4. Step 4: Simplify right side
    557.67x = 259,137.31
  5. Step 5: Solve for x
    x = 259,137.31/557.67
  6. Step 6: Final answer
    x = 464.68

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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.