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Finding the Fourth Proportional to 375.54, 518.31 and 220.38

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Solution

The fourth proportional to 375.54, 518.31 and 220.38 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.54 : 518.31 = 220.38 : x
  2. Step 2: Convert to fraction form
    375.54/518.31 = 220.38/x
  3. Step 3: Cross multiply
    375.54x = 518.31 × 220.38
  4. Step 4: Simplify right side
    375.54x = 114,225.16
  5. Step 5: Solve for x
    x = 114,225.16/375.54
  6. Step 6: Final answer
    x = 304.16

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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.