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Finding the Fourth Proportional to 594.82, 892.83 and 411.58

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Solution

The fourth proportional to 594.82, 892.83 and 411.58 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.82 : 892.83 = 411.58 : x
  2. Step 2: Convert to fraction form
    594.82/892.83 = 411.58/x
  3. Step 3: Cross multiply
    594.82x = 892.83 × 411.58
  4. Step 4: Simplify right side
    594.82x = 367,470.97
  5. Step 5: Solve for x
    x = 367,470.97/594.82
  6. Step 6: Final answer
    x = 617.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.