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Finding the Fourth Proportional to 591.69, 816.78 and 434.31

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Solution

The fourth proportional to 591.69, 816.78 and 434.31 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.69 : 816.78 = 434.31 : x
  2. Step 2: Convert to fraction form
    591.69/816.78 = 434.31/x
  3. Step 3: Cross multiply
    591.69x = 816.78 × 434.31
  4. Step 4: Simplify right side
    591.69x = 354,735.72
  5. Step 5: Solve for x
    x = 354,735.72/591.69
  6. Step 6: Final answer
    x = 599.53

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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.