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Finding the Fourth Proportional to 423.70, 584.70 and 249.05

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Solution

The fourth proportional to 423.70, 584.70 and 249.05 is: 343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.70 : 584.70 = 249.05 : x
  2. Step 2: Convert to fraction form
    423.70/584.70 = 249.05/x
  3. Step 3: Cross multiply
    423.70x = 584.70 × 249.05
  4. Step 4: Simplify right side
    423.70x = 145,619.54
  5. Step 5: Solve for x
    x = 145,619.54/423.70
  6. Step 6: Final answer
    x = 343.69

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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.