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Finding the Fourth Proportional to 377.92, 564.17 and 343.90

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Solution

The fourth proportional to 377.92, 564.17 and 343.90 is: 513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.92 : 564.17 = 343.90 : x
  2. Step 2: Convert to fraction form
    377.92/564.17 = 343.90/x
  3. Step 3: Cross multiply
    377.92x = 564.17 × 343.90
  4. Step 4: Simplify right side
    377.92x = 194,018.06
  5. Step 5: Solve for x
    x = 194,018.06/377.92
  6. Step 6: Final answer
    x = 513.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.