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Finding the Fourth Proportional to 431.94, 596.09 and 266.03

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Solution

The fourth proportional to 431.94, 596.09 and 266.03 is: 367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.94 : 596.09 = 266.03 : x
  2. Step 2: Convert to fraction form
    431.94/596.09 = 266.03/x
  3. Step 3: Cross multiply
    431.94x = 596.09 × 266.03
  4. Step 4: Simplify right side
    431.94x = 158,576.25
  5. Step 5: Solve for x
    x = 158,576.25/431.94
  6. Step 6: Final answer
    x = 367.13

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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.