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Finding the Fourth Proportional to 415.44, 574.08 and 328.80

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Solution

The fourth proportional to 415.44, 574.08 and 328.80 is: 454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 574.08 = 328.80 : x
  2. Step 2: Convert to fraction form
    415.44/574.08 = 328.80/x
  3. Step 3: Cross multiply
    415.44x = 574.08 × 328.80
  4. Step 4: Simplify right side
    415.44x = 188,757.50
  5. Step 5: Solve for x
    x = 188,757.50/415.44
  6. Step 6: Final answer
    x = 454.36

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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.