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Finding the Fourth Proportional to 971.20, 1,456.96 and 321.84

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Solution

The fourth proportional to 971.20, 1,456.96 and 321.84 is: 482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.20 : 1,456.96 = 321.84 : x
  2. Step 2: Convert to fraction form
    971.20/1,456.96 = 321.84/x
  3. Step 3: Cross multiply
    971.20x = 1,456.96 × 321.84
  4. Step 4: Simplify right side
    971.20x = 468,908.01
  5. Step 5: Solve for x
    x = 468,908.01/971.20
  6. Step 6: Final answer
    x = 482.81

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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.