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Finding the Fourth Proportional to 432.56, 649.06 and 330.46

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Solution

The fourth proportional to 432.56, 649.06 and 330.46 is: 495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 649.06 = 330.46 : x
  2. Step 2: Convert to fraction form
    432.56/649.06 = 330.46/x
  3. Step 3: Cross multiply
    432.56x = 649.06 × 330.46
  4. Step 4: Simplify right side
    432.56x = 214,485.92
  5. Step 5: Solve for x
    x = 214,485.92/432.56
  6. Step 6: Final answer
    x = 495.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.