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Finding the Fourth Proportional to 432, 596.46 and 266.26

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Solution

The fourth proportional to 432, 596.46 and 266.26 is: 367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 596.46 = 266.26 : x
  2. Step 2: Convert to fraction form
    432/596.46 = 266.26/x
  3. Step 3: Cross multiply
    432x = 596.46 × 266.26
  4. Step 4: Simplify right side
    432x = 158,813.44
  5. Step 5: Solve for x
    x = 158,813.44/432
  6. Step 6: Final answer
    x = 367.62

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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.