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Finding the Fourth Proportional to 321.16, 479.09 and 282.28

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Solution

The fourth proportional to 321.16, 479.09 and 282.28 is: 421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.16 : 479.09 = 282.28 : x
  2. Step 2: Convert to fraction form
    321.16/479.09 = 282.28/x
  3. Step 3: Cross multiply
    321.16x = 479.09 × 282.28
  4. Step 4: Simplify right side
    321.16x = 135,237.53
  5. Step 5: Solve for x
    x = 135,237.53/321.16
  6. Step 6: Final answer
    x = 421.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.