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Finding the Fourth Proportional to 767.70, 1,151.64 and 305.43

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Solution

The fourth proportional to 767.70, 1,151.64 and 305.43 is: 458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.70 : 1,151.64 = 305.43 : x
  2. Step 2: Convert to fraction form
    767.70/1,151.64 = 305.43/x
  3. Step 3: Cross multiply
    767.70x = 1,151.64 × 305.43
  4. Step 4: Simplify right side
    767.70x = 351,745.41
  5. Step 5: Solve for x
    x = 351,745.41/767.70
  6. Step 6: Final answer
    x = 458.18

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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.