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Finding the Fourth Proportional to 411.28, 615.78 and 328.62

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Solution

The fourth proportional to 411.28, 615.78 and 328.62 is: 492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.28 : 615.78 = 328.62 : x
  2. Step 2: Convert to fraction form
    411.28/615.78 = 328.62/x
  3. Step 3: Cross multiply
    411.28x = 615.78 × 328.62
  4. Step 4: Simplify right side
    411.28x = 202,357.62
  5. Step 5: Solve for x
    x = 202,357.62/411.28
  6. Step 6: Final answer
    x = 492.02

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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.