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Finding the Fourth Proportional to 496.62, 685.23 and 289.50

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Solution

The fourth proportional to 496.62, 685.23 and 289.50 is: 399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.62 : 685.23 = 289.50 : x
  2. Step 2: Convert to fraction form
    496.62/685.23 = 289.50/x
  3. Step 3: Cross multiply
    496.62x = 685.23 × 289.50
  4. Step 4: Simplify right side
    496.62x = 198,374.09
  5. Step 5: Solve for x
    x = 198,374.09/496.62
  6. Step 6: Final answer
    x = 399.45

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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.