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Finding the Fourth Proportional to 423.63, 584.70 and 249.03

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Solution

The fourth proportional to 423.63, 584.70 and 249.03 is: 343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.63 : 584.70 = 249.03 : x
  2. Step 2: Convert to fraction form
    423.63/584.70 = 249.03/x
  3. Step 3: Cross multiply
    423.63x = 584.70 × 249.03
  4. Step 4: Simplify right side
    423.63x = 145,607.84
  5. Step 5: Solve for x
    x = 145,607.84/423.63
  6. Step 6: Final answer
    x = 343.71

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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.