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Finding the Fourth Proportional to 557.54, 836.91 and 326.68

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Solution

The fourth proportional to 557.54, 836.91 and 326.68 is: 490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.54 : 836.91 = 326.68 : x
  2. Step 2: Convert to fraction form
    557.54/836.91 = 326.68/x
  3. Step 3: Cross multiply
    557.54x = 836.91 × 326.68
  4. Step 4: Simplify right side
    557.54x = 273,401.76
  5. Step 5: Solve for x
    x = 273,401.76/557.54
  6. Step 6: Final answer
    x = 490.37

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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.