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Finding the Fourth Proportional to 657.74, 986.33 and 361.18

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Solution

The fourth proportional to 657.74, 986.33 and 361.18 is: 541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.74 : 986.33 = 361.18 : x
  2. Step 2: Convert to fraction form
    657.74/986.33 = 361.18/x
  3. Step 3: Cross multiply
    657.74x = 986.33 × 361.18
  4. Step 4: Simplify right side
    657.74x = 356,237.74
  5. Step 5: Solve for x
    x = 356,237.74/657.74
  6. Step 6: Final answer
    x = 541.61

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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.