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Finding the Fourth Proportional to 647.96, 971.96 and 361.22

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Solution

The fourth proportional to 647.96, 971.96 and 361.22 is: 541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.96 : 971.96 = 361.22 : x
  2. Step 2: Convert to fraction form
    647.96/971.96 = 361.22/x
  3. Step 3: Cross multiply
    647.96x = 971.96 × 361.22
  4. Step 4: Simplify right side
    647.96x = 351,084.73
  5. Step 5: Solve for x
    x = 351,084.73/647.96
  6. Step 6: Final answer
    x = 541.84

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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.