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Finding the Fourth Proportional to 673.91, 930.45 and 496.89

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Solution

The fourth proportional to 673.91, 930.45 and 496.89 is: 686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.91 : 930.45 = 496.89 : x
  2. Step 2: Convert to fraction form
    673.91/930.45 = 496.89/x
  3. Step 3: Cross multiply
    673.91x = 930.45 × 496.89
  4. Step 4: Simplify right side
    673.91x = 462,331.30
  5. Step 5: Solve for x
    x = 462,331.30/673.91
  6. Step 6: Final answer
    x = 686.04

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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.