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Finding the Fourth Proportional to 592.08, 816.97 and 343.42

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Solution

The fourth proportional to 592.08, 816.97 and 343.42 is: 473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.08 : 816.97 = 343.42 : x
  2. Step 2: Convert to fraction form
    592.08/816.97 = 343.42/x
  3. Step 3: Cross multiply
    592.08x = 816.97 × 343.42
  4. Step 4: Simplify right side
    592.08x = 280,563.84
  5. Step 5: Solve for x
    x = 280,563.84/592.08
  6. Step 6: Final answer
    x = 473.86

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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.