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Finding the Fourth Proportional to 432.75, 648.23 and 293.49

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Solution

The fourth proportional to 432.75, 648.23 and 293.49 is: 439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.75 : 648.23 = 293.49 : x
  2. Step 2: Convert to fraction form
    432.75/648.23 = 293.49/x
  3. Step 3: Cross multiply
    432.75x = 648.23 × 293.49
  4. Step 4: Simplify right side
    432.75x = 190,251.64
  5. Step 5: Solve for x
    x = 190,251.64/432.75
  6. Step 6: Final answer
    x = 439.63

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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.