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Finding the Fourth Proportional to 423.76, 584.71 and 249.06

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Solution

The fourth proportional to 423.76, 584.71 and 249.06 is: 343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.76 : 584.71 = 249.06 : x
  2. Step 2: Convert to fraction form
    423.76/584.71 = 249.06/x
  3. Step 3: Cross multiply
    423.76x = 584.71 × 249.06
  4. Step 4: Simplify right side
    423.76x = 145,627.87
  5. Step 5: Solve for x
    x = 145,627.87/423.76
  6. Step 6: Final answer
    x = 343.66

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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.