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Finding the Fourth Proportional to 596.28, 823.12 and 397.40

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Solution

The fourth proportional to 596.28, 823.12 and 397.40 is: 548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.28 : 823.12 = 397.40 : x
  2. Step 2: Convert to fraction form
    596.28/823.12 = 397.40/x
  3. Step 3: Cross multiply
    596.28x = 823.12 × 397.40
  4. Step 4: Simplify right side
    596.28x = 327,107.89
  5. Step 5: Solve for x
    x = 327,107.89/596.28
  6. Step 6: Final answer
    x = 548.58

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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.