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Finding the Fourth Proportional to 432.32, 647.92 and 188.80

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Solution

The fourth proportional to 432.32, 647.92 and 188.80 is: 282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.32 : 647.92 = 188.80 : x
  2. Step 2: Convert to fraction form
    432.32/647.92 = 188.80/x
  3. Step 3: Cross multiply
    432.32x = 647.92 × 188.80
  4. Step 4: Simplify right side
    432.32x = 122,327.30
  5. Step 5: Solve for x
    x = 122,327.30/432.32
  6. Step 6: Final answer
    x = 282.96

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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.