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Finding the Fourth Proportional to 496.40, 684.68 and 289.44

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Solution

The fourth proportional to 496.40, 684.68 and 289.44 is: 399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.40 : 684.68 = 289.44 : x
  2. Step 2: Convert to fraction form
    496.40/684.68 = 289.44/x
  3. Step 3: Cross multiply
    496.40x = 684.68 × 289.44
  4. Step 4: Simplify right side
    496.40x = 198,173.78
  5. Step 5: Solve for x
    x = 198,173.78/496.40
  6. Step 6: Final answer
    x = 399.22

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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.