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Finding the Fourth Proportional to 596.28, 892.80 and 403.52

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Solution

The fourth proportional to 596.28, 892.80 and 403.52 is: 604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.28 : 892.80 = 403.52 : x
  2. Step 2: Convert to fraction form
    596.28/892.80 = 403.52/x
  3. Step 3: Cross multiply
    596.28x = 892.80 × 403.52
  4. Step 4: Simplify right side
    596.28x = 360,262.66
  5. Step 5: Solve for x
    x = 360,262.66/596.28
  6. Step 6: Final answer
    x = 604.18

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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.