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Finding the Fourth Proportional to 431.93, 596.27 and 276.77

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Solution

The fourth proportional to 431.93, 596.27 and 276.77 is: 382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.93 : 596.27 = 276.77 : x
  2. Step 2: Convert to fraction form
    431.93/596.27 = 276.77/x
  3. Step 3: Cross multiply
    431.93x = 596.27 × 276.77
  4. Step 4: Simplify right side
    431.93x = 165,028.26
  5. Step 5: Solve for x
    x = 165,028.26/431.93
  6. Step 6: Final answer
    x = 382.07

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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.