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Finding the Fourth Proportional to 592.03, 816.92 and 343.31

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Solution

The fourth proportional to 592.03, 816.92 and 343.31 is: 473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.03 : 816.92 = 343.31 : x
  2. Step 2: Convert to fraction form
    592.03/816.92 = 343.31/x
  3. Step 3: Cross multiply
    592.03x = 816.92 × 343.31
  4. Step 4: Simplify right side
    592.03x = 280,456.81
  5. Step 5: Solve for x
    x = 280,456.81/592.03
  6. Step 6: Final answer
    x = 473.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.