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Finding the Fourth Proportional to 375.40, 517.62 and 344.20

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Solution

The fourth proportional to 375.40, 517.62 and 344.20 is: 474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.40 : 517.62 = 344.20 : x
  2. Step 2: Convert to fraction form
    375.40/517.62 = 344.20/x
  3. Step 3: Cross multiply
    375.40x = 517.62 × 344.20
  4. Step 4: Simplify right side
    375.40x = 178,164.80
  5. Step 5: Solve for x
    x = 178,164.80/375.40
  6. Step 6: Final answer
    x = 474.60

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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.