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Finding the Fourth Proportional to 591.91, 816.42 and 423.70

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Solution

The fourth proportional to 591.91, 816.42 and 423.70 is: 584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.91 : 816.42 = 423.70 : x
  2. Step 2: Convert to fraction form
    591.91/816.42 = 423.70/x
  3. Step 3: Cross multiply
    591.91x = 816.42 × 423.70
  4. Step 4: Simplify right side
    591.91x = 345,917.15
  5. Step 5: Solve for x
    x = 345,917.15/591.91
  6. Step 6: Final answer
    x = 584.41

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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.