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Finding the Fourth Proportional to 673.05, 928.86 and 411.11

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Solution

The fourth proportional to 673.05, 928.86 and 411.11 is: 567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.05 : 928.86 = 411.11 : x
  2. Step 2: Convert to fraction form
    673.05/928.86 = 411.11/x
  3. Step 3: Cross multiply
    673.05x = 928.86 × 411.11
  4. Step 4: Simplify right side
    673.05x = 381,863.63
  5. Step 5: Solve for x
    x = 381,863.63/673.05
  6. Step 6: Final answer
    x = 567.36

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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.