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Finding the Fourth Proportional to 348.67, 523.11 and 294.40

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Solution

The fourth proportional to 348.67, 523.11 and 294.40 is: 441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.67 : 523.11 = 294.40 : x
  2. Step 2: Convert to fraction form
    348.67/523.11 = 294.40/x
  3. Step 3: Cross multiply
    348.67x = 523.11 × 294.40
  4. Step 4: Simplify right side
    348.67x = 154,003.58
  5. Step 5: Solve for x
    x = 154,003.58/348.67
  6. Step 6: Final answer
    x = 441.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.