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Finding the Fourth Proportional to 591.94, 816.93 and 343.31

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Solution

The fourth proportional to 591.94, 816.93 and 343.31 is: 473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.94 : 816.93 = 343.31 : x
  2. Step 2: Convert to fraction form
    591.94/816.93 = 343.31/x
  3. Step 3: Cross multiply
    591.94x = 816.93 × 343.31
  4. Step 4: Simplify right side
    591.94x = 280,460.24
  5. Step 5: Solve for x
    x = 280,460.24/591.94
  6. Step 6: Final answer
    x = 473.80

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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.