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Finding the Fourth Proportional to 411.56, 615.72 and 283.04

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Solution

The fourth proportional to 411.56, 615.72 and 283.04 is: 423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.56 : 615.72 = 283.04 : x
  2. Step 2: Convert to fraction form
    411.56/615.72 = 283.04/x
  3. Step 3: Cross multiply
    411.56x = 615.72 × 283.04
  4. Step 4: Simplify right side
    411.56x = 174,273.39
  5. Step 5: Solve for x
    x = 174,273.39/411.56
  6. Step 6: Final answer
    x = 423.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.