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Finding the Fourth Proportional to 596.49, 892.49 and 423.58

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Solution

The fourth proportional to 596.49, 892.49 and 423.58 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.49 : 892.49 = 423.58 : x
  2. Step 2: Convert to fraction form
    596.49/892.49 = 423.58/x
  3. Step 3: Cross multiply
    596.49x = 892.49 × 423.58
  4. Step 4: Simplify right side
    596.49x = 378,041.81
  5. Step 5: Solve for x
    x = 378,041.81/596.49
  6. Step 6: Final answer
    x = 633.78

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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.