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Finding the Fourth Proportional to 443.46, 661.53 and 428.88

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Solution

The fourth proportional to 443.46, 661.53 and 428.88 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.46 : 661.53 = 428.88 : x
  2. Step 2: Convert to fraction form
    443.46/661.53 = 428.88/x
  3. Step 3: Cross multiply
    443.46x = 661.53 × 428.88
  4. Step 4: Simplify right side
    443.46x = 283,716.99
  5. Step 5: Solve for x
    x = 283,716.99/443.46
  6. Step 6: Final answer
    x = 639.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.