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Finding the Fourth Proportional to 592.33, 817.59 and 343.71

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Solution

The fourth proportional to 592.33, 817.59 and 343.71 is: 474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.33 : 817.59 = 343.71 : x
  2. Step 2: Convert to fraction form
    592.33/817.59 = 343.71/x
  3. Step 3: Cross multiply
    592.33x = 817.59 × 343.71
  4. Step 4: Simplify right side
    592.33x = 281,015.15
  5. Step 5: Solve for x
    x = 281,015.15/592.33
  6. Step 6: Final answer
    x = 474.42

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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.