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Finding the Fourth Proportional to 432.60, 648.81 and 189.06

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Solution

The fourth proportional to 432.60, 648.81 and 189.06 is: 283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.60 : 648.81 = 189.06 : x
  2. Step 2: Convert to fraction form
    432.60/648.81 = 189.06/x
  3. Step 3: Cross multiply
    432.60x = 648.81 × 189.06
  4. Step 4: Simplify right side
    432.60x = 122,664.02
  5. Step 5: Solve for x
    x = 122,664.02/432.60
  6. Step 6: Final answer
    x = 283.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.