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Finding the Fourth Proportional to 592.32, 817.56 and 343.61

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Solution

The fourth proportional to 592.32, 817.56 and 343.61 is: 474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.32 : 817.56 = 343.61 : x
  2. Step 2: Convert to fraction form
    592.32/817.56 = 343.61/x
  3. Step 3: Cross multiply
    592.32x = 817.56 × 343.61
  4. Step 4: Simplify right side
    592.32x = 280,923.84
  5. Step 5: Solve for x
    x = 280,923.84/592.32
  6. Step 6: Final answer
    x = 474.28

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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.