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Finding the Fourth Proportional to 432.42, 647.97 and 287.84

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Solution

The fourth proportional to 432.42, 647.97 and 287.84 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.42 : 647.97 = 287.84 : x
  2. Step 2: Convert to fraction form
    432.42/647.97 = 287.84/x
  3. Step 3: Cross multiply
    432.42x = 647.97 × 287.84
  4. Step 4: Simplify right side
    432.42x = 186,508.44
  5. Step 5: Solve for x
    x = 186,508.44/432.42
  6. Step 6: Final answer
    x = 431.31

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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.