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Finding the Fourth Proportional to 487.14, 671.96 and 321.30

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Solution

The fourth proportional to 487.14, 671.96 and 321.30 is: 443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.14 : 671.96 = 321.30 : x
  2. Step 2: Convert to fraction form
    487.14/671.96 = 321.30/x
  3. Step 3: Cross multiply
    487.14x = 671.96 × 321.30
  4. Step 4: Simplify right side
    487.14x = 215,897.39
  5. Step 5: Solve for x
    x = 215,897.39/487.14
  6. Step 6: Final answer
    x = 443.19

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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.