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Finding the Fourth Proportional to 557.53, 769.49 and 336.50

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Solution

The fourth proportional to 557.53, 769.49 and 336.50 is: 464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.53 : 769.49 = 336.50 : x
  2. Step 2: Convert to fraction form
    557.53/769.49 = 336.50/x
  3. Step 3: Cross multiply
    557.53x = 769.49 × 336.50
  4. Step 4: Simplify right side
    557.53x = 258,933.39
  5. Step 5: Solve for x
    x = 258,933.39/557.53
  6. Step 6: Final answer
    x = 464.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.