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Finding the Fourth Proportional to 673.28, 928.86 and 411.20

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Solution

The fourth proportional to 673.28, 928.86 and 411.20 is: 567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.28 : 928.86 = 411.20 : x
  2. Step 2: Convert to fraction form
    673.28/928.86 = 411.20/x
  3. Step 3: Cross multiply
    673.28x = 928.86 × 411.20
  4. Step 4: Simplify right side
    673.28x = 381,947.23
  5. Step 5: Solve for x
    x = 381,947.23/673.28
  6. Step 6: Final answer
    x = 567.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.