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Finding the Fourth Proportional to 423.72, 584.80 and 249.07

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Solution

The fourth proportional to 423.72, 584.80 and 249.07 is: 343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.72 : 584.80 = 249.07 : x
  2. Step 2: Convert to fraction form
    423.72/584.80 = 249.07/x
  3. Step 3: Cross multiply
    423.72x = 584.80 × 249.07
  4. Step 4: Simplify right side
    423.72x = 145,656.14
  5. Step 5: Solve for x
    x = 145,656.14/423.72
  6. Step 6: Final answer
    x = 343.76

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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.