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Finding the Fourth Proportional to 431.94, 596.20 and 266.24

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Solution

The fourth proportional to 431.94, 596.20 and 266.24 is: 367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.94 : 596.20 = 266.24 : x
  2. Step 2: Convert to fraction form
    431.94/596.20 = 266.24/x
  3. Step 3: Cross multiply
    431.94x = 596.20 × 266.24
  4. Step 4: Simplify right side
    431.94x = 158,732.29
  5. Step 5: Solve for x
    x = 158,732.29/431.94
  6. Step 6: Final answer
    x = 367.49

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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.