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Finding the Fourth Proportional to 348.17, 523.06 and 301.19

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Solution

The fourth proportional to 348.17, 523.06 and 301.19 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.17 : 523.06 = 301.19 : x
  2. Step 2: Convert to fraction form
    348.17/523.06 = 301.19/x
  3. Step 3: Cross multiply
    348.17x = 523.06 × 301.19
  4. Step 4: Simplify right side
    348.17x = 157,537.07
  5. Step 5: Solve for x
    x = 157,537.07/348.17
  6. Step 6: Final answer
    x = 452.48

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Why These Related Problems?

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