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Finding the Fourth Proportional to 431.82, 596.05 and 276.57

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Solution

The fourth proportional to 431.82, 596.05 and 276.57 is: 381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.82 : 596.05 = 276.57 : x
  2. Step 2: Convert to fraction form
    431.82/596.05 = 276.57/x
  3. Step 3: Cross multiply
    431.82x = 596.05 × 276.57
  4. Step 4: Simplify right side
    431.82x = 164,849.55
  5. Step 5: Solve for x
    x = 164,849.55/431.82
  6. Step 6: Final answer
    x = 381.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.