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Finding the Fourth Proportional to 432.25, 647.79 and 236.96

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Solution

The fourth proportional to 432.25, 647.79 and 236.96 is: 355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 647.79 = 236.96 : x
  2. Step 2: Convert to fraction form
    432.25/647.79 = 236.96/x
  3. Step 3: Cross multiply
    432.25x = 647.79 × 236.96
  4. Step 4: Simplify right side
    432.25x = 153,500.32
  5. Step 5: Solve for x
    x = 153,500.32/432.25
  6. Step 6: Final answer
    x = 355.12

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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.