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Finding the Fourth Proportional to 596, 822.56 and 389.12

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Solution

The fourth proportional to 596, 822.56 and 389.12 is: 537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 822.56 = 389.12 : x
  2. Step 2: Convert to fraction form
    596/822.56 = 389.12/x
  3. Step 3: Cross multiply
    596x = 822.56 × 389.12
  4. Step 4: Simplify right side
    596x = 320,074.55
  5. Step 5: Solve for x
    x = 320,074.55/596
  6. Step 6: Final answer
    x = 537.04

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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.