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Finding the Fourth Proportional to 432.62, 647.84 and 269.82

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Solution

The fourth proportional to 432.62, 647.84 and 269.82 is: 404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.62 : 647.84 = 269.82 : x
  2. Step 2: Convert to fraction form
    432.62/647.84 = 269.82/x
  3. Step 3: Cross multiply
    432.62x = 647.84 × 269.82
  4. Step 4: Simplify right side
    432.62x = 174,800.19
  5. Step 5: Solve for x
    x = 174,800.19/432.62
  6. Step 6: Final answer
    x = 404.05

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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.