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Finding the Fourth Proportional to 432.31, 648.33 and 364.27

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Solution

The fourth proportional to 432.31, 648.33 and 364.27 is: 546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.31 : 648.33 = 364.27 : x
  2. Step 2: Convert to fraction form
    432.31/648.33 = 364.27/x
  3. Step 3: Cross multiply
    432.31x = 648.33 × 364.27
  4. Step 4: Simplify right side
    432.31x = 236,167.17
  5. Step 5: Solve for x
    x = 236,167.17/432.31
  6. Step 6: Final answer
    x = 546.29

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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.