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Finding the Fourth Proportional to 591.71, 816.59 and 343.09

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Solution

The fourth proportional to 591.71, 816.59 and 343.09 is: 473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.71 : 816.59 = 343.09 : x
  2. Step 2: Convert to fraction form
    591.71/816.59 = 343.09/x
  3. Step 3: Cross multiply
    591.71x = 816.59 × 343.09
  4. Step 4: Simplify right side
    591.71x = 280,158.06
  5. Step 5: Solve for x
    x = 280,158.06/591.71
  6. Step 6: Final answer
    x = 473.47

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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.