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Finding the Fourth Proportional to 432.45, 648.35 and 216.18

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Solution

The fourth proportional to 432.45, 648.35 and 216.18 is: 324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.45 : 648.35 = 216.18 : x
  2. Step 2: Convert to fraction form
    432.45/648.35 = 216.18/x
  3. Step 3: Cross multiply
    432.45x = 648.35 × 216.18
  4. Step 4: Simplify right side
    432.45x = 140,159.22
  5. Step 5: Solve for x
    x = 140,159.22/432.45
  6. Step 6: Final answer
    x = 324.11

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