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Finding the Fourth Proportional to 431.35, 596.42 and 376.68

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Solution

The fourth proportional to 431.35, 596.42 and 376.68 is: 520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.35 : 596.42 = 376.68 : x
  2. Step 2: Convert to fraction form
    431.35/596.42 = 376.68/x
  3. Step 3: Cross multiply
    431.35x = 596.42 × 376.68
  4. Step 4: Simplify right side
    431.35x = 224,659.49
  5. Step 5: Solve for x
    x = 224,659.49/431.35
  6. Step 6: Final answer
    x = 520.83

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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.