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Finding the Fourth Proportional to 432.14, 647.96 and 200.90

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Solution

The fourth proportional to 432.14, 647.96 and 200.90 is: 301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.14 : 647.96 = 200.90 : x
  2. Step 2: Convert to fraction form
    432.14/647.96 = 200.90/x
  3. Step 3: Cross multiply
    432.14x = 647.96 × 200.90
  4. Step 4: Simplify right side
    432.14x = 130,170.92
  5. Step 5: Solve for x
    x = 130,170.92/432.14
  6. Step 6: Final answer
    x = 301.23

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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.