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Finding the Fourth Proportional to 375.45, 515.90 and 305.34

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Solution

The fourth proportional to 375.45, 515.90 and 305.34 is: 419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.45 : 515.90 = 305.34 : x
  2. Step 2: Convert to fraction form
    375.45/515.90 = 305.34/x
  3. Step 3: Cross multiply
    375.45x = 515.90 × 305.34
  4. Step 4: Simplify right side
    375.45x = 157,523.73
  5. Step 5: Solve for x
    x = 157,523.73/375.45
  6. Step 6: Final answer
    x = 419.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.