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Finding the Fourth Proportional to 423.36, 634.64 and 249.60

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Solution

The fourth proportional to 423.36, 634.64 and 249.60 is: 374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 634.64 = 249.60 : x
  2. Step 2: Convert to fraction form
    423.36/634.64 = 249.60/x
  3. Step 3: Cross multiply
    423.36x = 634.64 × 249.60
  4. Step 4: Simplify right side
    423.36x = 158,406.14
  5. Step 5: Solve for x
    x = 158,406.14/423.36
  6. Step 6: Final answer
    x = 374.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.