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Finding the Fourth Proportional to 432.45, 647.82 and 201.02

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Solution

The fourth proportional to 432.45, 647.82 and 201.02 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.45 : 647.82 = 201.02 : x
  2. Step 2: Convert to fraction form
    432.45/647.82 = 201.02/x
  3. Step 3: Cross multiply
    432.45x = 647.82 × 201.02
  4. Step 4: Simplify right side
    432.45x = 130,221.54
  5. Step 5: Solve for x
    x = 130,221.54/432.45
  6. Step 6: Final answer
    x = 301.13

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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.