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Finding the Fourth Proportional to 431.96, 596.37 and 266.45

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Solution

The fourth proportional to 431.96, 596.37 and 266.45 is: 367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.96 : 596.37 = 266.45 : x
  2. Step 2: Convert to fraction form
    431.96/596.37 = 266.45/x
  3. Step 3: Cross multiply
    431.96x = 596.37 × 266.45
  4. Step 4: Simplify right side
    431.96x = 158,899.80
  5. Step 5: Solve for x
    x = 158,899.80/431.96
  6. Step 6: Final answer
    x = 367.86

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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.