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Finding the Fourth Proportional to 423.76, 584.84 and 249.10

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Solution

The fourth proportional to 423.76, 584.84 and 249.10 is: 343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.76 : 584.84 = 249.10 : x
  2. Step 2: Convert to fraction form
    423.76/584.84 = 249.10/x
  3. Step 3: Cross multiply
    423.76x = 584.84 × 249.10
  4. Step 4: Simplify right side
    423.76x = 145,682.40
  5. Step 5: Solve for x
    x = 145,682.40/423.76
  6. Step 6: Final answer
    x = 343.79

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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.