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Finding the Fourth Proportional to 411.28, 619.25 and 362.85

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Solution

The fourth proportional to 411.28, 619.25 and 362.85 is: 546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.28 : 619.25 = 362.85 : x
  2. Step 2: Convert to fraction form
    411.28/619.25 = 362.85/x
  3. Step 3: Cross multiply
    411.28x = 619.25 × 362.85
  4. Step 4: Simplify right side
    411.28x = 224,690.73
  5. Step 5: Solve for x
    x = 224,690.73/411.28
  6. Step 6: Final answer
    x = 546.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.