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Finding the Fourth Proportional to 375.45, 517.83 and 251.07

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Solution

The fourth proportional to 375.45, 517.83 and 251.07 is: 346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.45 : 517.83 = 251.07 : x
  2. Step 2: Convert to fraction form
    375.45/517.83 = 251.07/x
  3. Step 3: Cross multiply
    375.45x = 517.83 × 251.07
  4. Step 4: Simplify right side
    375.45x = 130,011.58
  5. Step 5: Solve for x
    x = 130,011.58/375.45
  6. Step 6: Final answer
    x = 346.28

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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.