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Finding the Fourth Proportional to 673.14, 928.75 and 411.15

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Solution

The fourth proportional to 673.14, 928.75 and 411.15 is: 567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.14 : 928.75 = 411.15 : x
  2. Step 2: Convert to fraction form
    673.14/928.75 = 411.15/x
  3. Step 3: Cross multiply
    673.14x = 928.75 × 411.15
  4. Step 4: Simplify right side
    673.14x = 381,855.56
  5. Step 5: Solve for x
    x = 381,855.56/673.14
  6. Step 6: Final answer
    x = 567.28

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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.