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Finding the Fourth Proportional to 351.86, 523.17 and 337.28

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Solution

The fourth proportional to 351.86, 523.17 and 337.28 is: 501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.86 : 523.17 = 337.28 : x
  2. Step 2: Convert to fraction form
    351.86/523.17 = 337.28/x
  3. Step 3: Cross multiply
    351.86x = 523.17 × 337.28
  4. Step 4: Simplify right side
    351.86x = 176,452.16
  5. Step 5: Solve for x
    x = 176,452.16/351.86
  6. Step 6: Final answer
    x = 501.49

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Why These Related Problems?

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