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Finding the Fourth Proportional to 421.86, 579.80 and 372.44

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Solution

The fourth proportional to 421.86, 579.80 and 372.44 is: 511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.86 : 579.80 = 372.44 : x
  2. Step 2: Convert to fraction form
    421.86/579.80 = 372.44/x
  3. Step 3: Cross multiply
    421.86x = 579.80 × 372.44
  4. Step 4: Simplify right side
    421.86x = 215,940.71
  5. Step 5: Solve for x
    x = 215,940.71/421.86
  6. Step 6: Final answer
    x = 511.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.