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Finding the Fourth Proportional to 432.42, 648 and 200.76

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Solution

The fourth proportional to 432.42, 648 and 200.76 is: 300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.42 : 648 = 200.76 : x
  2. Step 2: Convert to fraction form
    432.42/648 = 200.76/x
  3. Step 3: Cross multiply
    432.42x = 648 × 200.76
  4. Step 4: Simplify right side
    432.42x = 130,090.05
  5. Step 5: Solve for x
    x = 130,090.05/432.42
  6. Step 6: Final answer
    x = 300.84

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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.