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Finding the Fourth Proportional to 591.79, 816.64 and 343.09

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Solution

The fourth proportional to 591.79, 816.64 and 343.09 is: 473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.79 : 816.64 = 343.09 : x
  2. Step 2: Convert to fraction form
    591.79/816.64 = 343.09/x
  3. Step 3: Cross multiply
    591.79x = 816.64 × 343.09
  4. Step 4: Simplify right side
    591.79x = 280,181.02
  5. Step 5: Solve for x
    x = 280,181.02/591.79
  6. Step 6: Final answer
    x = 473.45

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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.