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Finding the Fourth Proportional to 432.44, 596.24 and 353.46

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Solution

The fourth proportional to 432.44, 596.24 and 353.46 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.44 : 596.24 = 353.46 : x
  2. Step 2: Convert to fraction form
    432.44/596.24 = 353.46/x
  3. Step 3: Cross multiply
    432.44x = 596.24 × 353.46
  4. Step 4: Simplify right side
    432.44x = 210,746.99
  5. Step 5: Solve for x
    x = 210,746.99/432.44
  6. Step 6: Final answer
    x = 487.34

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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.