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Finding the Fourth Proportional to 592.94, 818.26 and 344.41

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Solution

The fourth proportional to 592.94, 818.26 and 344.41 is: 475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.94 : 818.26 = 344.41 : x
  2. Step 2: Convert to fraction form
    592.94/818.26 = 344.41/x
  3. Step 3: Cross multiply
    592.94x = 818.26 × 344.41
  4. Step 4: Simplify right side
    592.94x = 281,812.84
  5. Step 5: Solve for x
    x = 281,812.84/592.94
  6. Step 6: Final answer
    x = 475.28

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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.