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Finding the Fourth Proportional to 462, 637.28 and 321.86

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Solution

The fourth proportional to 462, 637.28 and 321.86 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 637.28 = 321.86 : x
  2. Step 2: Convert to fraction form
    462/637.28 = 321.86/x
  3. Step 3: Cross multiply
    462x = 637.28 × 321.86
  4. Step 4: Simplify right side
    462x = 205,114.94
  5. Step 5: Solve for x
    x = 205,114.94/462
  6. Step 6: Final answer
    x = 443.97

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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.