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Finding the Fourth Proportional to 432.29, 596.32 and 266.21

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Solution

The fourth proportional to 432.29, 596.32 and 266.21 is: 367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.29 : 596.32 = 266.21 : x
  2. Step 2: Convert to fraction form
    432.29/596.32 = 266.21/x
  3. Step 3: Cross multiply
    432.29x = 596.32 × 266.21
  4. Step 4: Simplify right side
    432.29x = 158,747.36
  5. Step 5: Solve for x
    x = 158,747.36/432.29
  6. Step 6: Final answer
    x = 367.23

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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.