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Finding the Fourth Proportional to 432.24, 596.07 and 349.29

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Solution

The fourth proportional to 432.24, 596.07 and 349.29 is: 481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 596.07 = 349.29 : x
  2. Step 2: Convert to fraction form
    432.24/596.07 = 349.29/x
  3. Step 3: Cross multiply
    432.24x = 596.07 × 349.29
  4. Step 4: Simplify right side
    432.24x = 208,201.29
  5. Step 5: Solve for x
    x = 208,201.29/432.24
  6. Step 6: Final answer
    x = 481.68

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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.