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Finding the Fourth Proportional to 432.64, 648.98 and 108.01

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Solution

The fourth proportional to 432.64, 648.98 and 108.01 is: 162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.64 : 648.98 = 108.01 : x
  2. Step 2: Convert to fraction form
    432.64/648.98 = 108.01/x
  3. Step 3: Cross multiply
    432.64x = 648.98 × 108.01
  4. Step 4: Simplify right side
    432.64x = 70,096.33
  5. Step 5: Solve for x
    x = 70,096.33/432.64
  6. Step 6: Final answer
    x = 162.02

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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.