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Finding the Fourth Proportional to 375.09, 517.57 and 219.84

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Solution

The fourth proportional to 375.09, 517.57 and 219.84 is: 303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.09 : 517.57 = 219.84 : x
  2. Step 2: Convert to fraction form
    375.09/517.57 = 219.84/x
  3. Step 3: Cross multiply
    375.09x = 517.57 × 219.84
  4. Step 4: Simplify right side
    375.09x = 113,782.59
  5. Step 5: Solve for x
    x = 113,782.59/375.09
  6. Step 6: Final answer
    x = 303.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.