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Finding the Fourth Proportional to 343.44, 471.12 and 337.80

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Solution

The fourth proportional to 343.44, 471.12 and 337.80 is: 463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.44 : 471.12 = 337.80 : x
  2. Step 2: Convert to fraction form
    343.44/471.12 = 337.80/x
  3. Step 3: Cross multiply
    343.44x = 471.12 × 337.80
  4. Step 4: Simplify right side
    343.44x = 159,144.34
  5. Step 5: Solve for x
    x = 159,144.34/343.44
  6. Step 6: Final answer
    x = 463.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.