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Finding the Fourth Proportional to 442.80, 609.84 and 326.16

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Solution

The fourth proportional to 442.80, 609.84 and 326.16 is: 449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 609.84 = 326.16 : x
  2. Step 2: Convert to fraction form
    442.80/609.84 = 326.16/x
  3. Step 3: Cross multiply
    442.80x = 609.84 × 326.16
  4. Step 4: Simplify right side
    442.80x = 198,905.41
  5. Step 5: Solve for x
    x = 198,905.41/442.80
  6. Step 6: Final answer
    x = 449.20

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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.