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Finding the Fourth Proportional to 432.54, 648.18 and 215.82

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Solution

The fourth proportional to 432.54, 648.18 and 215.82 is: 323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 648.18 = 215.82 : x
  2. Step 2: Convert to fraction form
    432.54/648.18 = 215.82/x
  3. Step 3: Cross multiply
    432.54x = 648.18 × 215.82
  4. Step 4: Simplify right side
    432.54x = 139,890.21
  5. Step 5: Solve for x
    x = 139,890.21/432.54
  6. Step 6: Final answer
    x = 323.42

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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.