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Finding the Fourth Proportional to 431.85, 596.00 and 263.78

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Solution

The fourth proportional to 431.85, 596.00 and 263.78 is: 364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.85 : 596.00 = 263.78 : x
  2. Step 2: Convert to fraction form
    431.85/596.00 = 263.78/x
  3. Step 3: Cross multiply
    431.85x = 596.00 × 263.78
  4. Step 4: Simplify right side
    431.85x = 157,213.05
  5. Step 5: Solve for x
    x = 157,213.05/431.85
  6. Step 6: Final answer
    x = 364.05

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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.