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Finding the Fourth Proportional to 496.50, 685.24 and 289.50

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Solution

The fourth proportional to 496.50, 685.24 and 289.50 is: 399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.50 : 685.24 = 289.50 : x
  2. Step 2: Convert to fraction form
    496.50/685.24 = 289.50/x
  3. Step 3: Cross multiply
    496.50x = 685.24 × 289.50
  4. Step 4: Simplify right side
    496.50x = 198,376.98
  5. Step 5: Solve for x
    x = 198,376.98/496.50
  6. Step 6: Final answer
    x = 399.55

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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.