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Finding the Fourth Proportional to 432.52, 648.54 and 216.04

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Solution

The fourth proportional to 432.52, 648.54 and 216.04 is: 323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.52 : 648.54 = 216.04 : x
  2. Step 2: Convert to fraction form
    432.52/648.54 = 216.04/x
  3. Step 3: Cross multiply
    432.52x = 648.54 × 216.04
  4. Step 4: Simplify right side
    432.52x = 140,110.58
  5. Step 5: Solve for x
    x = 140,110.58/432.52
  6. Step 6: Final answer
    x = 323.94

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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.