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Finding the Fourth Proportional to 475.40, 712.14 and 443.40

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Solution

The fourth proportional to 475.40, 712.14 and 443.40 is: 664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.40 : 712.14 = 443.40 : x
  2. Step 2: Convert to fraction form
    475.40/712.14 = 443.40/x
  3. Step 3: Cross multiply
    475.40x = 712.14 × 443.40
  4. Step 4: Simplify right side
    475.40x = 315,762.88
  5. Step 5: Solve for x
    x = 315,762.88/475.40
  6. Step 6: Final answer
    x = 664.20

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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.