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Finding the Fourth Proportional to 594.46, 892.37 and 389.26

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Solution

The fourth proportional to 594.46, 892.37 and 389.26 is: 584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.46 : 892.37 = 389.26 : x
  2. Step 2: Convert to fraction form
    594.46/892.37 = 389.26/x
  3. Step 3: Cross multiply
    594.46x = 892.37 × 389.26
  4. Step 4: Simplify right side
    594.46x = 347,363.95
  5. Step 5: Solve for x
    x = 347,363.95/594.46
  6. Step 6: Final answer
    x = 584.34

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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.