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Finding the Fourth Proportional to 321.16, 442.28 and 306.58

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Solution

The fourth proportional to 321.16, 442.28 and 306.58 is: 422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.16 : 442.28 = 306.58 : x
  2. Step 2: Convert to fraction form
    321.16/442.28 = 306.58/x
  3. Step 3: Cross multiply
    321.16x = 442.28 × 306.58
  4. Step 4: Simplify right side
    321.16x = 135,594.20
  5. Step 5: Solve for x
    x = 135,594.20/321.16
  6. Step 6: Final answer
    x = 422.20

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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.