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Finding the Fourth Proportional to 343.90, 471.50 and 337.74

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Solution

The fourth proportional to 343.90, 471.50 and 337.74 is: 463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.90 : 471.50 = 337.74 : x
  2. Step 2: Convert to fraction form
    343.90/471.50 = 337.74/x
  3. Step 3: Cross multiply
    343.90x = 471.50 × 337.74
  4. Step 4: Simplify right side
    343.90x = 159,244.41
  5. Step 5: Solve for x
    x = 159,244.41/343.90
  6. Step 6: Final answer
    x = 463.05

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