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Finding the Fourth Proportional to 375.61, 518.38 and 346.20

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Solution

The fourth proportional to 375.61, 518.38 and 346.20 is: 477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.61 : 518.38 = 346.20 : x
  2. Step 2: Convert to fraction form
    375.61/518.38 = 346.20/x
  3. Step 3: Cross multiply
    375.61x = 518.38 × 346.20
  4. Step 4: Simplify right side
    375.61x = 179,463.16
  5. Step 5: Solve for x
    x = 179,463.16/375.61
  6. Step 6: Final answer
    x = 477.79

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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.