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Finding the Fourth Proportional to 375.72, 518.66 and 276.14

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Solution

The fourth proportional to 375.72, 518.66 and 276.14 is: 381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 518.66 = 276.14 : x
  2. Step 2: Convert to fraction form
    375.72/518.66 = 276.14/x
  3. Step 3: Cross multiply
    375.72x = 518.66 × 276.14
  4. Step 4: Simplify right side
    375.72x = 143,221.79
  5. Step 5: Solve for x
    x = 143,221.79/375.72
  6. Step 6: Final answer
    x = 381.19

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Why These Related Problems?

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