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Finding the Fourth Proportional to 673.05, 928.85 and 506.97

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Solution

The fourth proportional to 673.05, 928.85 and 506.97 is: 699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.05 : 928.85 = 506.97 : x
  2. Step 2: Convert to fraction form
    673.05/928.85 = 506.97/x
  3. Step 3: Cross multiply
    673.05x = 928.85 × 506.97
  4. Step 4: Simplify right side
    673.05x = 470,899.08
  5. Step 5: Solve for x
    x = 470,899.08/673.05
  6. Step 6: Final answer
    x = 699.65

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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.