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Finding the Fourth Proportional to 592.23, 817.30 and 343.62

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Solution

The fourth proportional to 592.23, 817.30 and 343.62 is: 474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.23 : 817.30 = 343.62 : x
  2. Step 2: Convert to fraction form
    592.23/817.30 = 343.62/x
  3. Step 3: Cross multiply
    592.23x = 817.30 × 343.62
  4. Step 4: Simplify right side
    592.23x = 280,840.63
  5. Step 5: Solve for x
    x = 280,840.63/592.23
  6. Step 6: Final answer
    x = 474.21

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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.