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Finding the Fourth Proportional to 432.56, 648.92 and 216.08

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Solution

The fourth proportional to 432.56, 648.92 and 216.08 is: 324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 648.92 = 216.08 : x
  2. Step 2: Convert to fraction form
    432.56/648.92 = 216.08/x
  3. Step 3: Cross multiply
    432.56x = 648.92 × 216.08
  4. Step 4: Simplify right side
    432.56x = 140,218.63
  5. Step 5: Solve for x
    x = 140,218.63/432.56
  6. Step 6: Final answer
    x = 324.16

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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.