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Finding the Fourth Proportional to 432.24, 647.50 and 200.82

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Solution

The fourth proportional to 432.24, 647.50 and 200.82 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.24 : 647.50 = 200.82 : x
  2. Step 2: Convert to fraction form
    432.24/647.50 = 200.82/x
  3. Step 3: Cross multiply
    432.24x = 647.50 × 200.82
  4. Step 4: Simplify right side
    432.24x = 130,030.95
  5. Step 5: Solve for x
    x = 130,030.95/432.24
  6. Step 6: Final answer
    x = 300.83

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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.