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Finding the Fourth Proportional to 592.00, 816.98 and 343.45

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Solution

The fourth proportional to 592.00, 816.98 and 343.45 is: 473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.00 : 816.98 = 343.45 : x
  2. Step 2: Convert to fraction form
    592.00/816.98 = 343.45/x
  3. Step 3: Cross multiply
    592.00x = 816.98 × 343.45
  4. Step 4: Simplify right side
    592.00x = 280,591.08
  5. Step 5: Solve for x
    x = 280,591.08/592.00
  6. Step 6: Final answer
    x = 473.97

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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.