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Finding the Fourth Proportional to 592.84, 818.27 and 344.17

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Solution

The fourth proportional to 592.84, 818.27 and 344.17 is: 475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.84 : 818.27 = 344.17 : x
  2. Step 2: Convert to fraction form
    592.84/818.27 = 344.17/x
  3. Step 3: Cross multiply
    592.84x = 818.27 × 344.17
  4. Step 4: Simplify right side
    592.84x = 281,623.99
  5. Step 5: Solve for x
    x = 281,623.99/592.84
  6. Step 6: Final answer
    x = 475.04

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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.