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Finding the Fourth Proportional to 579.86, 800.26 and 331.22

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Solution

The fourth proportional to 579.86, 800.26 and 331.22 is: 457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.86 : 800.26 = 331.22 : x
  2. Step 2: Convert to fraction form
    579.86/800.26 = 331.22/x
  3. Step 3: Cross multiply
    579.86x = 800.26 × 331.22
  4. Step 4: Simplify right side
    579.86x = 265,062.12
  5. Step 5: Solve for x
    x = 265,062.12/579.86
  6. Step 6: Final answer
    x = 457.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.