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Finding the Fourth Proportional to 592.12, 816.90 and 343.48

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Solution

The fourth proportional to 592.12, 816.90 and 343.48 is: 473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.12 : 816.90 = 343.48 : x
  2. Step 2: Convert to fraction form
    592.12/816.90 = 343.48/x
  3. Step 3: Cross multiply
    592.12x = 816.90 × 343.48
  4. Step 4: Simplify right side
    592.12x = 280,588.81
  5. Step 5: Solve for x
    x = 280,588.81/592.12
  6. Step 6: Final answer
    x = 473.87

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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.