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Finding the Fourth Proportional to 475.92, 712.92 and 218.64

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Solution

The fourth proportional to 475.92, 712.92 and 218.64 is: 327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 712.92 = 218.64 : x
  2. Step 2: Convert to fraction form
    475.92/712.92 = 218.64/x
  3. Step 3: Cross multiply
    475.92x = 712.92 × 218.64
  4. Step 4: Simplify right side
    475.92x = 155,872.83
  5. Step 5: Solve for x
    x = 155,872.83/475.92
  6. Step 6: Final answer
    x = 327.52

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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.