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Finding the Fourth Proportional to 592.71, 817.94 and 344.05

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Solution

The fourth proportional to 592.71, 817.94 and 344.05 is: 474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.71 : 817.94 = 344.05 : x
  2. Step 2: Convert to fraction form
    592.71/817.94 = 344.05/x
  3. Step 3: Cross multiply
    592.71x = 817.94 × 344.05
  4. Step 4: Simplify right side
    592.71x = 281,408.17
  5. Step 5: Solve for x
    x = 281,408.17/592.71
  6. Step 6: Final answer
    x = 474.78

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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.