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Finding the Fourth Proportional to 348.62, 523.01 and 287.04

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Solution

The fourth proportional to 348.62, 523.01 and 287.04 is: 430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.62 : 523.01 = 287.04 : x
  2. Step 2: Convert to fraction form
    348.62/523.01 = 287.04/x
  3. Step 3: Cross multiply
    348.62x = 523.01 × 287.04
  4. Step 4: Simplify right side
    348.62x = 150,125.85
  5. Step 5: Solve for x
    x = 150,125.85/348.62
  6. Step 6: Final answer
    x = 430.63

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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.